Related rates are also a favorite of the AP writers. Related rates can be a challenging section, so I devote several days to it in class. ![]() Incorporated into this chapter are some applications of derivatives: position/velocity/acceleration, tangent lines, and related rates. Together the derivative rules cover how to find derivatives for all types of mathematical operations: addition, subtraction, multiplication, division, and composition. Derivative rules include: power rule, product rule, higher order derivatives (2nd derivative, 3rd derivative, etc.), quotient rule, chain rule, and implicit differentiation. Mechanically finding the derivative of a multitude of functions follows once the definition of a derivative is understood. ![]() ![]() The limit definition of a derivative is almost always found as a multiple choice question on the AP test. The beginning lesson establishes the meaning of a derivative and how it is developed from limits.
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