Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

What is the derivative of #f(x)= xln(x^3-4)#?

1 Answer

Dec 4, 2016

#f'(x)= (3x^3)/(x^3-4) + ln(x^3-4)#

Explanation:

#f(x) = xln(x^3-4)#

#f'(x) = x*d/dx ln(x^3-4) + ln(x^3-4)*1# [Product Rule]

#= x* 1/(x^3-4) * (3x^2) + ln(x^3-4)# [Standard differential and Chain Rule]

#= (3x^3)/(x^3-4) + ln(x^3-4)#

Related questions

See all questions in Differentiating Logarithmic Functions with Base e

Impact of this question

1454 views around the world

You can reuse this answer
Creative Commons License