y=e^(2x) - x^3. Find dy/dx. (please note this is "e to the power of 2x, minus x cubed")

The rules to know are 1) when differentiating e to the power of x... be it 2x or 100x... you bring down the number in front of x, and leave the power as it is. in our case e^(2x) goes to 2e^(2x).

  1. When differentiating x to the power of something, bring the power down (here is 3) and decrease the power by one. So -x^3 goes to -3x^2. Note the minus stays for the ride all the way from the question.

Our final answer is dy/dx = 2e^(2x) -3x^2. (said as two e to the power of 2x, minus 3x squared)

TM
Answered by Toby M. Maths tutor

7668 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the area contained under the curve y =3x^2 - x^3 between 0 and 3


Find the stationary points of the curve given by the following function: f(x) = x^2 + 5x + 2


Have you taught before?


Find the gradient of the tangent and the normal to the curve f(x)= 4x^3 - 7x - 10 at the point (2, 8)


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