How to differentiate using the Product Rule

  • Google+ icon
  • LinkedIn icon

The Product Rule is used when differentiating two functions that are being multiplied together. It can be used by multiplying each function by the derivative of the other and adding.  

If y=u*v then

dy/dx= u*dv/dx + v*du/dx  

To illustrate this rule look at the example below: 


u=x2  v=e3x      du/dx= 2x    dv/dx= 3e3x

Therefore dy/dx= (x2)*(3e3x)+ (e3x)*(2x)  

               dy/dx= 3x2e3x + 2xe3x 

Callum M. A Level Maths tutor, GCSE Maths tutor, 13 plus  Maths tutor...

About the author

is an online A Level Maths tutor with MyTutor studying at Durham University

Still stuck? Get one-to-one help from a personally interviewed subject specialist.

95% of our customers rate us

Browse tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss