differentiate 4x^3 + 3x^2 -5x +1

when differentiating, we multiply the power by the coefficient and then take the power away by 1 so : y= 4x^3 + 3x^2 -5x +1 then 4 x 3= 12 and 3-1 = 2 meaning the solution is 12x^2. 2 x 3 = 6 and 2-1 = 1 giving a solution of 6x. 1x.-5= -5 amd 1-1= 0 so the x value dissapears as x^0 = 1 and finally the 1 does not have a variable so it can't be differentiated so it is excluded. so dy/dx= 12x^2 + 6x -5 

JR
Answered by James R. Maths tutor

4687 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How does integration by parts work?


The Curve C shows parametric equations x = 4tant and y = 5((3)^1/2)(sin2t) , Point P is located at (4(3)^1/2, 15/2) Find dy/dx at P.


Tom drink drives two days a week, the chance of him being caught per day is 1 in 100. What is the chance he will not be driving after a) one week? b) one year?


Can you explain the product rule when differentiating?


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:

© 2025 by IXL Learning