What is product rule differentiation?

Product rule differentiation, is a form of differentiation which is used to calculate the derivative, i.e. the gradient of the function, of a function f(x) which is made up of one function g(x) multiplied by another function t(x). So given f(x)= g(x).t(x) we can calculate its derivative f'(x). First we calculate the individual derivatives t'(x) and g'(x) we then calculate the derivative of the function f(x) using the formula f'(x)=t'(x)g(x)+g'(x)t(x).For example given the function f(x)=x3sin(x) so t(x)=x3 , t'(x)=3x2 , g(x)=sin(x) g'(x)=cos(x) therefore f'(x)=3x2sin(x)+x3cos(x)

TF
Answered by Thomas F. Maths tutor

3896 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Express cos(2x) in the form acos^2(x) + b, where a and b are constants.


Find the area under the curve y = (4x^3) + (9x^2) - 2x + 7 between x=0 and x=2


If I throw a ball, of mass 2kg, straight up in the air, with velocity 10ms-1, how long until it lands? Assume gravity = 10ms-2


Find the solution(s) of 3(x^2)-6x+2=0


We're here to help

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

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences