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

Related Maths A Level answers

All answers ▸

The curve C has parametric equations x=2cos(t) and y=3cos(2t). Find and expression for dy/dx in terms of t.


Differentiate f = ln(x^2 + 1) / (x ^ 2 + 1).


A general function f(x) has the property f(-x)=-f(x). State a trigonometric function with this property and explain using the Maclaurin series expansion for this function why this property holds. Write down the integral in the limits -q to q of f(x) wrt x


Given that y = 16x^2 + 7x - 3, find dy/dx [3 marks]