Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you use the chain rule to differentiate #(sqrtx)^10#?

1 Answer

Oct 22, 2016

Using the chain rule, we get #d/dx((sqrtx)^10) = 5(sqrtx)^8#. The answer can be simplified to #5x^4# (domain: #x >= 0#)

Explanation:

Using the chain rule: #d/dx(u^10) = 10u^9 (du)/dx#

In this case, #u = sqrtx#, so we have #(du)/dx = 1/(2sqrtx)#

#d/dx((sqrtx)^10) = 10 (sqrtx)^9 (1/(2sqrtx)) = 5(sqrtx)^8#

Related questions

See all questions in Chain Rule

Impact of this question

870 views around the world

You can reuse this answer
Creative Commons License