Implicit Differentiation

The Implicit differentiation exercise appears under the Differential calculus Math Mission on Khan Academy. This exercise solves derivatives in equation form that have multiple variables.
== Types of Problems ==
There are three types of problems in this exercise:
# Find the derivative of the function: The student is asked to find the derivative of a function that has multiple variables.
# Find the rate in which values are changing: The student is asked to find the rate of change of two variables from the function.
# Find the slope of the tangent: The student is asked to find the slope of the tangent line at a particular point.
== Strategies ==
Knowledge basic derivative concepts are encouraged to ensure success on this exercise.
# The equation of a unit circle is and it's derivative is x^2+y^2=1 and it's derivative is -x/y
# The derivative of is xsqrt(y)=1 is -2x^{-3}
# The derivative of is e^{xy^2}=x-y is \frac{1-y^2e^{xy^2}}{2xye^{xy^2}+1} 
Category:Math