CPM Homework Help : CALC Problem 5-68

Describe how to find the derivative for $f(x) = g(ax + b)$ , where $a$ and $b$ are constants. Check by using your derivative on $f ( x ) = \sqrt { 5 x + 2 }$ and $f(x) =\operatorname{cos}(3x)$ .

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.