Maths Calculus Graphics Math games fr|en|es|pt|de Some examples of calculations with the calculator. Arithmetic operations The online scientific calculator can use usual arithmetic operators to perform arithmetic operations as an online calculator. The notation used is as follows: + For addition - For subtraction * For multiplication / For division ^ To raise to a power A sample calculation that can add the numbers 34 and 32. See example of arithmetic calculation: 34+32 Operations on fractions The scientific calculator online offers the ability to simplify a fraction , to reduce a fraction and performing all arithmetic operations on fractions using the usual operators. The following series of examples shows how to calculate fractions. The following example shows how to add fractions . show example of fractions computation : 4 5 + 3 2 4 The following example shows how to subtract fractions . show example of fractions calculation : 4 5 − 3 2 4 The following example shows how to multiply fractions . show example of fractions calculus : 4 5 ⋅ 3 2 4 The following example shows how to divide fractions . show example of fractions calculation : 4 5 3 2 4 The following example shows how to raise a fraction to a power fraction . show example of fractions calculation : ( 4 5 ) 3 ( In addition to the result, the calculator retourne également returns the different stages of the fraction calculation. Euclidean division The web scientific calculator allows to do an Euclidean division, the Euclidean division can be done with integers or polynomials. The following examples show how to do a Euclidean division using the online calculator. See example of euclidean division between two integers: 19:4 19 See example of the euclidean division between two polynomials : x 2 −4 x et x+2 x Factoring an expression The internet calculator allows to factor an expression specifying the calculation steps. The following examples show how to factor an expression using the online calculator. Show example factorization of an expression : x 2 −9 x Show example factorization of an expression : x 2 −4 x Expand an expression The calculator scientific allows to develop an expression. The following example shows how to expand an expression using the online calculator. Show example of expansion of an expression : (1+x) 2 ( Solving a linear equation The calculator allows solving a linear equation quickly and easily, the results are given in exact form and details of the calculations are displayed. Simply enter the equation and validate. The following example shows how to solve a linear equation using the online equality calculator . See example of solving an equation : x 3 +3=x x Solving a quadratic equation The online calculator allows solving a quadratic equation very quickly and very simply, the results are given in exact form and the steps of the calculations are displayed. how to solve a quadratic equation using the online equation calculator . Show example of solving an equation : x 2 +x=1 x Solving absolute value equation Online calculator allows solving absolute value equation quickly and easily, the results are given in exact form and the steps of the calculations are displayed. The following example shows how to solve an absolute value equation using the online equation calculator . Show example of solving an absolute value equation : |x−2|=1 | Solving exponential equation Online calculator allows solving exponential equation quickly and easily, the results are given in exact form and the steps of the calculations are displayed. The following example shows how to solve an exponential equation using the online equations calculator . Show example of solving an exponential equation : exp(x−2)=1 exp Solving logarithmic equation The online equation calculator allows to solving logarithmic equation quickly and easily, the results are given in exact form and the steps of the calculations are displayed. The following example shows how to solve an logarithmic equation using the online equation calculator. See example of solving an equation : ln(x−2)=0 ln Solving an inequation of the first degree The online calculator allows linear inequality resolution very quickly and very simply, the exact results are given, with steps of calculation. The following example shows how to solve an inequality with the inequalities calculator . See example of solving an inequality : x+3>2 Solving a quadratic inequality The calculator allows solving a quadratic inequality very simply and very quickly, the exact results are given, with steps of calculation. The following example shows how to solve a quadratic inequality using the online calculator. Show example of solving an inequality : x 2 −3>2 x Computation of the discriminant of a quadratic polynomial The web calculator allows to calculate the discriminant of a quadratic trinomial very quickly and very simply, exact results are given with the different calculation stages. The following example shows how to calculate discriminant using the internet calculator. Show example of discriminant calculation : x 2 −3x+2 x Solving a system of equations The online solver allows solving a system of equations , the solutions are given in exact form. The following example shows how to solve a system of equations using the online system solver. See example of solving a system of equations : solve_system([x+y=18;3*y+2*x=46];[x;y]) Find a linear equation from two points The online calculator allows you to find a linear equation from two points . The following example shows how to calculate a linear equation from two points using online calculator equation straight line . See example of calculating a linear equation which passes through two points. Symbolic calculation: reduce expression The computer algebra software (CAS) that offers this site reduces expression that is to simplify an algebraic expression. The following example shows how to simplify an expression using the symplify calculator. See example of simplification of an expression : b+2a+3a+4b Calculating a square root The square root calculator online can be used on numeric expressions but also on symbolic expressions, it provides results in exact form. The following example shows how to calculate the square root of a number using the square root calculator online. See example square root calculation : 12 − − √ 12 Calculating a derivative The online derivative calculator allows for all standard functions to calculate a derivative. The following example shows how to calculate the derivative of a function using the online derivative calculator. Show sample calculation of derivative : differentiate(4x+4) Calculate a limit The online limit calculator allows for some functions to La calculatrice de limite en ligne permet pour certaines fonctions usuelles de faire le calculate limit explaining the calculations which make it possible to obtain the result. The following example shows how to calculate the limit of a function thanks to limit calculator . Show sample calculation of limit : limit( sin(x) x sin ) Calculation of the terms of a numerical sequence The following example shows how to calculate the terms of a numeric sequence when it is explicitly defined . See example of calculation of the terms of the sequence ( n 2 n ) whose indices are between 1 and 4. The following example shows how to calculate the terms of a numeric sequence when it is defined by recurrence . See example of calculation of the terms of the sequence defined by recurrence u n+1 = u n +3, u 0 =2 u whose indices are between 1 and 4. Find the equation of the tangent at a given abscissa point The tangent line calculator allows to find an equation of the tangent at a given point of abscissa . The following example shows how to calculate the tangent at one point using the online tangent line calculator . See calculation example of the tangent to the graph of the function f:x→ x 2 +3 f at the point of abscissa 1 Calculating a cube root The online cube root calculator can be used on numeric expressions, it provides exact results. The following example shows how to calculate the cube root of a number with the cube root calculator online. See sample cube root calculation : cube_root(64) Calculation with vectors The internet calculator is used with vectors , it allows to do many operations that involve vector calculation. Calculations are done in exact form and can involve literal expressions, calculation steps are specified. The following example shows how to calculate the norm of a vector using the online vector norm calculator . See example of calculating the norm of a coordinate vector [1;2] [ The following example shows how to calculate the norm of a vector with coordinates that contain letters. See example of calculating the norm of a coordinate vector ⎡ ⎣ ⎢ a 2⋅a a 2 ⎤ ⎦ ⎥ [ The following example shows how to compute the coordinates of a vector from the coordinates of two points. See example of calculation of the coordinates of a vector from points of coordinates [1;2] and [5;6] The following example shows how to compute the cross product of two vectors from the coordinates. See example of calculation of the cross product of the vectors [1;1;1] and [5;5;6] The following example shows How to compute the dot product of two vectors from the coordinates. See example of calculation of the dot product of the vectors [1;1;1] et [5;5;6]. The following example shows how to compute the scalar triple product of three vectors from the coordinates. See example of calculation of the scalar triple product of the vectors ⎡ ⎣ ⎢ 1 1 1 ⎤ ⎦ ⎥ [ ; ⎡ ⎣ ⎢ 5 1 6 ⎤ ⎦ ⎥ [ ; ⎡ ⎣ ⎢ 4 3 2 ⎤ ⎦ ⎥ [ Calculation of an antiderivative The computer algebgra software allows for many functions to get the calculation of an antiderivative . The following example shows how to calculate an antiderivative function with the antiderivative calculator online. Show sample calculation of antiderivative: antiderivative(4x+4) . Operations on complex numbers The computer algebra software (CAS) allows for all arithmetic operations on complex numbers using the usual operators to do calculation. The symbol used is i. The following example shows how to calculate a complex expression using the online calculator. See example of a complex number calculation : 5+i+3⋅ i 2 5 The following example shows how to simplify a complex number using the online calculator. See example of simplification of a complex number : 1 1+i 1 Solve a differential equation of the first order The online calculator is able to solve a differential equation of the first order. The following example shows how to solve a differential equation using the online calculator. See example of solving a differential equation : solve(y'+y=0;x) s Statistical calculations The online calculator allows for many statistical operations as average , variance or standard deviation calculations. The exact results are given with the calculation steps. The calculator can manipulate numbers but also letters. The following example shows how to calculate the average of a series using the average calculator online. See example of average calculation ([[12;14;15;4];[3;5;3;2]]) ( The following example shows how to calculate the variance of a series See example of variance calculation ([12;14;15;4]) ( The following example shows how to calculate the standard deviation of a series. See example of standard deviation calculation ([12;14;15;4]) ( Matrices calculation The online matrix calculator is used with matrices , it allows for many operations involving the matrix calculation. Calculations are done in exact form and may involve literal expressions. The calculation steps are specified. Calculate the determinant of a matrix or vectors. The calculator allows to Calculate the determinant of matrix . The following example shows how to calculate the determinant of a matrix using the online calculator. See example calculation of the determinant of the matrix ⎛ ⎝ ⎜ 3 3 4 1 2 1 0 1 7 ⎞ ⎠ ⎟ ( . Calculate the inverse of a square matrix. The web calculator online allows to calculate the inverse of a square matrix . The following example shows how to calculate the inverse of a square matrix using the web calculator. See example of calculating the inverse of the matrix ⎛ ⎝ ⎜ 3 3 4 1 2 1 0 1 7 ⎞ ⎠ ⎟ ( . Calculate the sum of matrices. The matrix calculator online allows to calculate the sum of two matrices . The following example shows how to calculate the sum of two matrices using the matrix calculator online. See example of calculation of the sum of the matrices ⎛ ⎝ ⎜ 3 1 −5 3 2 1 4 0 1 ⎞ ⎠ ⎟ + ⎛ ⎝ ⎜ 3 1 2 3 4 1 4 0 1 ⎞ ⎠ ⎟ ( . Calculate the difference of matrices. The web matrix calculator allows to calculate the difference between two matrices . The following example shows how to calculate the difference between two matrices using the matrix calculator online. See example of calculation of the difference of the matrices ⎛ ⎝ ⎜ 3 1 −5 3 2 1 4 0 1 ⎞ ⎠ ⎟ − ⎛ ⎝ ⎜ 3 1 2 3 4 1 4 0 1 ⎞ ⎠ ⎟ ( . Calculate the product of two matrices. The internet matrix calculator allows to calculate the product of two matrices . The following example shows how to calculate the product of two matrices using the matrix calculator online. See example of calculation of the product of the matrices ⎛ ⎝ ⎜ 3 1 −5 3 2 1 4 0 1 ⎞ ⎠ ⎟ ⋅ ⎛ ⎝ ⎜ 3 1 2 3 4 1 4 0 1 ⎞ ⎠ ⎟ ( . Calculate the trace of a matrix. The web algebra calculator allows to calculate the trace of a matrix . The following example shows how to calculate the trace of a matrix using the calculator online. See example of calculation of the trace of the matrix ⎛ ⎝ ⎜ 3 1 −5 3 2 1 4 0 1 ⎞ ⎠ ⎟ ( . Calculate the transpose of a matrix. The algebra calculator allows to calculate the transpose of a matrix . The following example shows how to calculate the transpose of a matrix with the web calculator. See example of calculation of the transpose of the matrix ⎛ ⎝ ⎜ 3 1 −5 3 2 1 4 0 1 ⎞ ⎠ ⎟ ( . Calculate taylor series Taylor series calculator is able to calculate taylor expansion . The following example shows how to calculate taylor series with the taylor series calculator online See example of taylor expansion of cos(x). Calculate maclaurin series Maclaurin series calculator is able to calculate maclaurin expansion . The following example shows how to calculate maclaurin series with the Maclaurin series calculator online See example of Maclaurin expansion of sin(x). Transform a decimal number into a percentage The percentage calculator is able to convert a decimal number to a percentage . The following example shows how to transform a decimal number into a percentage with the calculator. See transformation example of 0.25 into a percentage. Transform a fraction into a percentage The percentage calculator is able to convert a fraction to a percentage . The following example shows how to transform a fraction into a percentage with the online calculator. See transformation example of 1 2 1 into a percentage. Calculate a perimeter The perimeter calculator is able to calculate usual perimeters . The following example shows How to calculate the perimeter of a rectangle with the online perimeter calculator. See example of rectangle perimeter calculation . The following example shows How to calculate the perimeter of a circle or How to calculate the perimeter of a square with the perimeter calculator. See example of circle perimeter calculation and square perimeter calculation Calculate the monthly payment of a loan. Whether it is home loan or consumer loan, the following example shows how to calculate the monthly payment of a loan knowing its rate and its duration. See example of calculation of a loan of $100000 over 20 years at the rate of 2%. Calculate the insurance of a credit. The following example shows how to calculate the monthly amount of credit insurance knowing its rate and duration. See example calculation of the insurance at the rate of 0.3% on a credit of $ 100000 over 20 years. All this is just a small overview of the features of this online computer algebra system , it allows many other types of calculations that are detailed in the online help calculator ( calculator tutorial ). 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