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

4005 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

What is the indefinite integral of cos^2x?


How do you avoid making silly mistakes in a maths exam?


Write down three linear factors of f(x) such that the curve of f(x) crosses the x axis at x=0.5,3,4. Hence find the equation of the curve in the form y = 2(x^3) + a(x^2) + bx + c.


Edexcel C1 2015 Q10. A curve with equation y = f (x) passes through the point (4, 9). Given that f′(x)=3x^(1/2)-9/(4x^(1/2))+2. Find f(x), giving each term in its simplest form.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences