Choose a composite trigonometric function of the form h ( x ) = g ( f ( x )) where the function g is one of the trigonometric functions and f is any...

A. Choose a composite trigonometric function of the form h(x) = g(f(x)) where the function g is one of the trigonometric functions and f is any function more complicated than y = x.

Note: An example of an appropriate function h would be h(x) = sin(3x - 4). However, you must pick a function other than this example for this task.

1. Show the step-by-step computation of the correct derivative of h(x) using the chain rule.

2. Using the function h you constructed for part A, find the instantaneous rate of change at x = π/3.