Emphasizes the use of differential calculus. Applications of techniques include extreme value problems, motion, graphing, and other topics as time allows. Limits Find the limits of equations using the four step method. Differentiation theory - slope of the tangent to a curve Relate the theory of limits to solving for the slope of the tangent to a curve. Techniques of differentiation Apply methods for differentiation - power rule, chain rule, implicit differentiation.
Applications Solve word problems using derivatives.
Derivative graphing Employ derivatives for graphing. 0 Derivatives of the sine and cosine function Identify derivatives of these functions. Differentiate exponential and logarithmic functions. Indefinite integral Evaluate indefinite integrals. Definite integral Evaluate definite integrals.