How do I use product rule when differentiating?

Problems like this usually look something like: Find the differential of (x2 e2x). The product rule is used when we have to differentiate two different functions multiplied by eachother, so we should always look for this when doing questions. In this example, the functions are f(x) = x2 , and g(x) = e2x. To differentiate this, we have to find f'(x) and g'(x), that is, the differential of the two functions. The product rule is f'(x)*g(x)+g'(x)*f(x). This looks daunting but it's not as bad as it seems.
The easy way to look at these questions is to just split the thing you're given into two parts, then differentiate those parts, and apply the formula. Like all maths questions the only way to get good is to practice a lot. So heres some examples!...

Answered by Jasvir K. Maths tutor

2751 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

The line L has equation y=5-2x. Find an equation of the line perpendicular to L, which passes through the point P (3,-1).


How do you find the maximum/minimum value of an equation?


Show that the equation 2sin^2(x) + 3sin(x) = 2cos(2x) + 3 can be written as 6sin^2(x)+3sin(x) - 5 = 0. Hence solve for 0 < x < 360 degrees. Giving your answers to 1.d.p.


Given that x = ln(sec(2y)) find dy/dx


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