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.

Answered by Georgia D. Maths tutor

6772 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Differentiate z = e^(3y^2+5) with respect to y. (Hint: use chain rule.)


How can I find the area under the graph of y = f(x) between x = a and x = b?


(i) Find the coordinates of the stationary point on the curve y = 3x^2 − 6/x − 2. [5] (ii) Determine whether the stationary point is a maximum point or a minimum point.


Find the derivative with respect to x, of 5cos(x)+ 4sin(x)


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