How to differentiate e^x . sin(x)

ex sin(x) is a product of two functions: ex and sin(x). This means we can use the product rule.
Let ex = u and sin(x) = v
The differential of uv is u'v + v'u where u' and v' are the two functions differentiated separately.
u' = ex and v' = cos(x)
So the differential of exsin(x) is exsin(x) + excos(x)

BW
Answered by Brent W. Maths tutor

42544 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Write 36% as a fraction in its simplest terms.


Given that y = x^4 + x^(1/3) + 3, find dy/dx


Express the equation cosecθ(3 cos 2θ+7)+11=0 in the form asin^2(θ) + bsin(θ) + c = 0, where a, b and c are constants.


What method should I use to differentiate equations with an x as the power of a number. E.g. 2^x


We're here to help

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

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning