Derivative of Composite Function/Examples/Reciprocal of (2x+1)^3

Example of Derivative of Composite Function

 * $\map {\dfrac \d {\d x} } {\dfrac 1 {\paren {2 x + 1}^3} } = -\dfrac 6 {\paren {2 x + 1}^4}$

Proof
Let $u = 2 x + 1$.

Let $y = u^{-3}$.

Then we have:
 * $y = \paren {2 x + 1}^{-3}$

and so: