Solution assignment 20 Differentiation of standard functions

Return to Assignments Differentiation of standard functions

Assignment 20

Differentiate:

$y=\sqrt[3]{x}$

Solution

This function is not in the list of standard functions. However, recall that root functions can be written as power functions, in this case as:

$y=x^{\frac{1}{3}}$

and the derivative of this function is:

$y'=\displaystyle\frac{1}{3}x^{\frac{1}{3}-1}=\displaystyle\frac{1}{3\sqrt[3]{x^2}}$

Return to Assignments Differentiation of standard functions

0

Web Design Bangladesh Web Design Bangladesh Mymensingh