Differentiate y = x^3− 5x^2 + 3x

the rule for differentiating in terms of x is to multiply by the power then decrease the power by one. So going through the equation x^3 will be multiplied by 3 and go to x^2 so will be 3x^2. Then its important to remember the signs of the terms so the next term is -5x^2 not 5x^2. this will be multiplied by 2 and the variable will go to x to give -10x. the same will happen to the last term to give 3 so the final equation is dy/dx=3x^2-10x+3.

GD
Answered by Georgia D. Maths tutor

6811 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Solve the inequality x(x+2)>8 for x.


Find the integral of 4x^2 - 10x + 1/(x^(1/2)), with respect to x, in its simplest form.


|2x+1|=3|x-2|


Where does the quadratic formula come from?


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