Learning Outcomes

Higher Order Derivatives

Derivatives of Logarithmic Functions

Derivatives of Exponential Functions

Lesson Summary

This module analyzes higher-order derivatives and the derivatives of inverse trigonometric functions. It discusses the logarithmic differentiation technique and how to graph a logarithmic function. Also, this module covers roles of derivatives regarding increasing and decreasing behaviours. It explores absolute maximum and absolute minimum.

Using a Chart to Find Extrema

The Second Derivative

Applications of the Derivative

Linear Approximations

This module discusses linear approximation and using the chart method for finding absolute extrema. It states the mean value theorem and Rolle's theorem. Also, this module identifies problems that can be solved using derivatives. It evaluates concavity and points of inflection.

Anti - Derivatives

The Definite Integral

Sigma Notation

Three Sigma Laws

This module evaluates the concepts of anti-differentiation and integration. It analyzes sigma notation and formulas for the sums of sequences. Also, this module will take you through estimating the area under the curve using trapezoids instead. It explores the estimation with Riemann sums

AP Calculus BC: Derivatives, Definite and Indefinite Integrals - Course Assessment

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

AP Calculus BC: Derivatives, Definite and Indefinite Integrals

This introductory college-level course gives you a broad understanding of the terms, formulas and problem-solving in calculus. Calculus is a versatile and valuable tool. It is deeply integrated into every branch of the physical sciences and other career paths. This course teaches you about definite and indefinite integrals, antidifferentiation as well as how to apply derivatives in your daily activities.

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