AP Calculus BC: Derivatives, Definite and Indefinite Integrals

This free online course describes absolute extrema, the different application of derivatives, as well as sigma notation.

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Learning Outcomes

In this free course, you will learn how to:

Explain the relationship between functions and their first and second derivatives
Define the absolute maximum and minimum
Identify the types of relative extrema
Distinguish between protagonists dy and Delta y
Solve for related rates, optimization and motion problems using derivatives
Describe the relationships Between f(x), f'(x) and f''(x)
Recall Rolle's theorem and mean value theorem
Describes how to use a chart to find extrema
Recall how to estimate with Riemann sums and the trapezoid approximation method
Analyze and find the extrema of a function
Explain Newton's method and define Sigma notation
Identify differentials to estimate given figures

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