Unit 3: Differentiation: Composite, Implicit and Inverse

Consider the curve defined by [math].

Let f and g be differentiable functions with values given below. Assume f is one-to-one.

Let [math], [math], and [math].

The curve is defined by [math].

A circle has the equation [math]. A point moves along the circle.

Let [math]. The function [math] is one-to-one.

The curve is defined by [math].

Let [math] and [math].

The curve [math].

Functions [math] and [math] are differentiable. Selected values are shown.