__Category__: Differential Calculus, Algebra"Published in Newark, California, USA"

Find the derivative for

__Solution__:

Consider the given equation

Express the above equation in terms of an exponential power as follows

First, get the derivative of a function in terms of a power

Next, get the derivative of a function inside the exponential function in terms of a rational function

Simplify the above equation

We can make a negative exponent into a positive exponent by getting the reciprocal of a rational function inside the exponential function as follows

As a rule in Mathematics, we have to rationalize the denominator in order to eliminate the cube root sign at the denominator as follows

Therefore,