Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you use the chain rule to differentiate #y=4/(sqrt(x-5)#?

1 Answer

Nov 13, 2016

#y=4/(sqrt(x-5))#

We can rewrite this as:
#y=4(x-5)^(-1/2)#

Use the chain rule:
#y'=4(-1/2)(x-5)^(-3/2)(1)#

#y'=-2(x-5)^(-3/2)#

#y'=(-2)/(x-5)^(3/2)#

Related questions

See all questions in Chain Rule

Impact of this question

1370 views around the world

You can reuse this answer
Creative Commons License