How do you use the chain rule to differentiate #y=2(x^4+x)^-1#?

1 Answer
Anjali G
Nov 20, 2016

#y'=-2(x^4+x)^(-2)(4x^3+1)#
#y'=[-2(4x^3+1)]/(x^4+x)^(-2)#

Explanation:

#y=2(x^4+x)^(-1)#

Differentiate this using the chain rule , which in simplest terms, it means "Derivative of the outside times derivative of the inside".

#y'=-2(x^4+x)^(-2)(4x^3+1)#

We can write this as a rational function:
#y'=[-2(4x^3+1)]/(x^4+x)^(-2)#

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