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

16146 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

The line y = (a^2)x and the curve y = x(b − x)^2, where 0<a<b , intersect at the origin O and at points P and Q. Find the coordinates of P and Q, where P<Q, and sketch the line and the curve on the same axes. Find the tangent at the point P.


Derive the following with respect to x1: y=(x1*x2)/(x1+x2).


Expand and simplify (3 + 4*root5)(3 - 2*root5)


Find the all the angles of a triangle with side lengths of 8cm, 11cm and 11cm.


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