Differentiate e^(xsinx)

Here you need to use the formula that the differential of e^f(x), where f(x) is any function, is equal to f'(x)e^f(x). So for our function we differentiate xsinx using product rule to give sinx + xcosx. By using the formula above we can show that the answer is (sinx + xcosx)e^(xsinx).

SL
Answered by Samuel L. Maths tutor

8393 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Express (3x^2 - 3x - 2)/(x-1)(x-2) in partial fractions


Differentiate the function f(x)=2xsin3x


Prove the identity (4cos(2x))/(1+cos(2x)) = 4-2sec^2(x)


Find dy/dx of the equation (x^3)*(y)+7x = y^3 + (2x)^2 +1 at point (1,1)


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