How do I use the product rule for derivatives?

Imagine a function f(x)=g(x)*h(x)    [that is, two functions multiplied together]

To find the derivative, f'(x)=g'(x)*h(x) + g(x)*h'(x)    

For example, f(x) = (3x2)*(cos x )        [g(x)=3x2  , h(x)=cosx]

f'(x) = (6x)(cos x ) + (3x2)(-sin x )

        =6xcos(x) - 3x2sin(x)

Answered by James W. Maths tutor

3348 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Differentiate x^2+4x+9.


Integrate 10x(x^1/2 - 2)dx


How to integrate lnX?


Use the substitution u = 6 - x^2 to find the value of the integral of (x^3)/(sqrt(6-x^2)) between the limits of x = 1 and x = 2 (AQA core 3 maths


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