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

8519 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

A curve has the equation (x+y)^2 = xy^2. Find the gradient of the curve at the point where x=1


A medical test will be positive for 0.05% of people and negative for everyone else. Suppose a hospital will test 4000 patients each day. Use an appropriate approximation to find the probability that 5 people test positive tomorrow. (5SF)


Find the area enclosed between C, the curve y=6x-x^2, L, the line y=16-2x and the y axis.


The curve C has equation: 2(x^2)y + 2x + 4y – cos(pi*y) = 17. Use implicit differentiation to find dy/dx in terms of x and y.


We're here to help

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

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences