Differentiate x^3 + 6x + 1

Though you are required to understand differentiating from first principles for the exam, questions such as this become quite straightforward once you know the trick.
To differentiate all you have to remember is:
Multiply by the power and reduce the power by 1. (subtract 1 of the power)
So the answer for this question is 3x3-1 + 6x1-1+ 0 (As 1 is the same as x^0)
Hence the answer is 3x2+6

MJ
Answered by Myles J. Maths tutor

3142 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

The curve C has equation x^2 – 3xy – 4y^2 + 64 = 0; find dy/dx in terms of x and y, and thus find the coordinates of the points on C where dy/dx = 0


Solve for x (where 0<x<360) 2sin^2(x) - sin(x) - 1 = 0


Calculate the volume of revolution generated by the function, f(x) = (3^x)√x, for the domain x = [0, 1]


Determine the stationary points of y=(5x^2)/(lnx)


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