Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you use the chain rule to differentiate #y=(x^4+3x)^-2#?

1 Answer

Jan 16, 2017

#dy/dx=-(8x^3+6)/(x^4+3x)#

Explanation:

If #y=[f(x)]^n#

Then #dy/dx=n[f(x)]^(n-1)f'(x)#

#y=(x^4+3x)^-2#

#dy/dx=-2(x^4+3x)^-3(4x^3+3)=(-2(4x^3+3))/(x^4+3x)^3=-(8x^3+6)/(x^4+3x)^3#

Related questions

See all questions in Chain Rule

Impact of this question

1292 views around the world

You can reuse this answer
Creative Commons License