How do I simply differentiate and what does a differential mean?

To differentiate a simple expression such as x^3 + 2x you simply multiply the power of the x by the multiple in front of the x value and then take away one from the power. For example the expression would become 3x^2+2. The differential is the first derivative of a function and it can represent the gradient of the function. The differential can then be used to find maxima and minima of a function when the differential is equal to zero.

LW
Answered by Laura W. Maths tutor

5897 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Write 9sin(x) + 12 cos(x) in the form Rsin(x+y) and hence solve 9sin(x) + 12 cos(x) = 3


A curve C is mapped by the equation ( 1+x)(4-x). The curve intersects the x-axis at x = –1 and x = 4. A region R is bounded by C and the x-axis. Use calculus to find the exact area of R.


What is differentiation and how is it used?


How to factorise any quadratic expression


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