CPM Homework Help : APCALC Problem 5-68

Describe how to obtain the derivative of $f(x) = g(ax + b)$ , where a and b are constants. Check your description by applying it to $f(x) = \sqrt { 5 x + 2 }$ and $f (x) = \cos(3x)$ .

Hint:

Both of these functions are composites and require the Chain Rule to derive. Start by comparing each function to $f(x) + g(ax + b)$ .
Then explain how the Chain Rule works.