How do I differentiate?

If we have the curve y=x3+3x2-7x+5, to differentiate it we firstly multiply x by its power, and then reduce the power by one.Therefore x3 will differentiate to 3x2, 3x2 will go to 6x and -7x will go to -7.Since 5 is technically 5x0, this will differentiate to 0.Therefore dy/dx=3x2+6x-7.

WH
Answered by William H. Maths tutor

4773 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

evaluate the integral of lnx


7x+5y-3z =16, 3x-5y+2z=-8, 5x+3y-7z=0. Solve for x,y and z.


differentiate ln( x^2 )


A cup of coffee is cooling down in a room following the equation x = 15 + 70e^(-t/40). Find the rate at which the temperature is decreasing when the coffee cools to 60°C.


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