### Home > CALC3RD > Chapter Ch5 > Lesson 5.2.2 > Problem5-68

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 $f (x) = \cos(3x)$. Homework Help ✎

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.