Derivative of Composite Function/Examples/(3x+1)^4

Example of Derivative of Composite Function

 * $\map {\dfrac \d {\d x} } {\paren {3 x + 1}^4} = 12 \paren {3 x + 1}^3$

Proof
Let $u = 3 x + 1$.

Let $y = u^4$.

Then we have:
 * $y = \paren {3 x + 1}^4$

and so: