Derivative of Composite Function/Examples/Logarithm of 1 + x^3

Example of Derivative of Composite Function

 * $\map {\dfrac \d {\d x} } {\map \ln {1 + x^3} } = \dfrac {3 x^2} {1 + x^3}$

Proof
Let $u = 1 + x^3$.

Let $y = \ln u$.

Thus we have:
 * $y = \map \ln {1 + x^3}$

and so: