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