## Derivative : solution of exercise 4.8 - Basic math level

### How to find the derivative *f'* of *f(x) = 5*^{(x + 2)} ? The derivative of any differentiable function of *x* raised to the power *x* or to the power *g(x)* can be found taking successively the natural logarithm and derivative of both the left and right sides. You can use as well the derivative formula for

*( f(x)*^{g(x)} )'.