September 11, 2014

In this, the third section of the course, the topics include:

Applications of derivatives

• Analysis of curves, including the notions of monotonicity and concavity.

• Optimization, both absolute (global) and relative (local) extrema.

• Modeling rates of change, including related rates problems.

• Use of implicit differentiation to find the derivative of an inverse function.

• Interpretation of the derivative as a rate of change in varied applied contexts,

including velocity, speed, and acceleration.

• Geometric interpretation of differential equations via slope fields and the relationship between slope fields and solution curves for differential equations.

Computation of derivatives

• Knowledge of derivatives of basic functions, including power, exponential, logarithmic, trigonometric, and inverse trigonometric functions.

• Derivative rules for sums, products, and quotients of functions.

• Chain rule and implicit differentiation.

- Mathematics > General
- Mathematics > Calculus

- Grade 11
- Grade 12