Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you find the derivative of #(4x +x^-5)^⅓#?

1 Answer

Feb 21, 2016

#d/dx(4x+x^-5)^(1/3)=1/3(4x+x^-5)^(-2/3)*(4-5x^-6)#

Explanation:

Use the power rule : #d/dx[u(x)]^n=n[u(x)]^(n-1)*(du)/dx#

#therefore d/dx(4x+x^-5)^(1/3)=1/3(4x+x^-5)^(-2/3)*(4-5x^-6)#

Related questions

See all questions in Power Rule

Impact of this question

1432 views around the world

You can reuse this answer
Creative Commons License