How do you differentiate a function?

The differential of a function is defined by the expression: dy/dx = Lim(dx->0) of (f(x+dx)-f(x))/dx. For functions only involving powers of x, the differentioal can easily be calculated by timesing by the power, and then reducing the power by 1. For example: y = f(x) = 3x2 The differential, dy/dx, is: dy/dx = 6x, where here the coefficient, 3, is multoplied by the power, 2 to give 6, and the power is reduced by 1 to give a power of 1.

Answered by Max H. Maths tutor

2822 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

FP2 (old specification) - How do you find the derivative of arsinhx?


A curve has the equation y = 2x cos(3x) + (3x^2-4) sin(3x). Find the derivative in the form (mx^2 + n) cos(3x)


Differentiate: y = 3x^2 + 4x + 1 -4x^-1


Find the vertex coordinates of parabola y = 2x^2 - 4x + 1


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo
Cookie Preferences