### Home > CALC > Chapter 5 > Lesson 5.2.2 > Problem5-68

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 $f(x) =\operatorname{cos}(3x)$.

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.