# Calc2.1

From Example Problems

Find the derivative of with respect to :

We have derivative formulas for functions such as and but not for a function involving both in the base and the exponent. However, any problem with of some form in the base and exponent can be solved by **logarithmic differentiation**. The process is simple. Take the logarithm of both sides and the exponent drops down by the laws of logarithms.

This is a function we can derive

Now solve for and then replace with its given value,