Differentiate y=x^x with respect to x.

y=x^x, taking natural log of both sides
ln(y)=ln(x^x), using laws of logs
ln(y)=xln(x), using product rule and implicit differentiation
dy/dx 1/y=ln(x)+1
dy/dx=(ln(x)+1)y
dy/dx=(ln(x)+1)x^x

Answered by Maths tutor

4037 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Fnd ∫x^2e^x


The line AB has equation 5x + 3y + 3 = 0. The point with coordinates (2k + 3, 4 -3k) lies on the line AB. How do you find the value of k.


How to differentiate with respect to x, xsin2x.


Use calculus to find the set of values of x for which f(x) = x^3 - 9x is an increasing function.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning