Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you use the chain rule to differentiate #y=(4x^5-1)root3(x+1)#?

1 Answer

Jun 6, 2018

#y=20x^4(x+1)^(1/3)+(4x^5-1)/(3(x+1)(2/3))#

Explanation:

We use the product rule
#(uv)'=u'v+uv'#
and the chain rule

#(f(g(x))'=f'(g(x))*g'(x)#
to get
#y'=20x^4(x+1)^(1/3)+(4*x^5-1)*(1/3)(x+1)^(-2/3)#

Related questions

See all questions in Chain Rule

Impact of this question

2142 views around the world

You can reuse this answer
Creative Commons License