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)

Answered by Toby M. Maths tutor

7338 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Express (5x + 4)/(x +2)(x - 1) in partial fractions.


y' = (2x)/(y+1). Solve for y.


Find the x value of the stationary points of the graph y = x^2e^x


Calculate dy/dx for y=x(x−1)


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences