Find dy/dx for y=5x^3−2x^2+7x−15

'Find dy/dx' means it wants us to differentiate. The rules for this are multiply the coefficient (number before x) by the current power, then decrease the power by 1.In this example:5x3 would become 15x2, -2x2 becomes -4x, 7x becomes 7 as the 7x becomes 7x0 and x0=1, and the 15 becomes 0 as it has no power being multiplied by.Therefore...dy/dx = 15x2 - 4x + 7

GS
Answered by Georgia S. Maths tutor

6676 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

(Core 3 level) Integrate the function f(x) = 2 -cos(3x) between the bounds 0, pi/3.


Express the polynomial x^3+x^2-14x-24 as a product of three linear factors.


differentiate x^3-6x^2+2x=0


(Using the Quotient Rule) -> Show that the derivative of (cosx)/(sinx) is (-1)/(sinx).


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