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 ▸Find INT{2,1}{x^4 + 3x^2 + 2}
Find the derivative of f(x)=x^2log(2x)
How do you use factor theorem to show an algebraic term is a factor of a polynomial?
Edexcel C1 2015 Q10. A curve with equation y = f (x) passes through the point (4, 9). Given that f′(x)=3x^(1/2)-9/(4x^(1/2))+2. Find f(x), giving each term in its simplest form.