How do you differentiate X to the power of a?

To differentiate Xa, where a is any real number, you multiply X by a, and subtract 1 from the power.
i.e. d(Xa)/dX=aXa-1

JB
Answered by James B. Maths tutor

16143 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Integrate 3x^2+cos(x) with respect to x


∫ 4/x^2+ 5x − 14 dx


Find dy/dx when y = 2ln(2e-x)


A ball is thrown vertically upwards with a speed of 24.5m/s. For how long is the ball higher than 29.4m above its initial position? Take acceleration due to gravity to be 9.8m/s^2.


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:

© 2026 by IXL Learning