Find a formula for the derivative of a given function

by RoRi

September 12, 2015

Find a formula for the derivative of the function

$f(x) = x^{\frac{1}{2}} + x^{\frac{1}{3}} + x^{\frac{1}{4}} \qquad x > 0.$

Using the formula for the derivative of a rational power of $x$ , we have

$f'(x) = \frac{1}{2} x^{-\frac{1}{2}} + \frac{1}{3} x^{-\frac{2}{3}} + \frac{1}{4} x^{-\frac{3}{4}} \qquad x > 0.$

Stumbling Robot