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 ▸Integrate y= x^3+3x^2-4x-7 between x values 1 and 3
integrate 1/(x^2+4x+13)
A factory produces cartons each box has height h and base dimensions 2x, x and surface area A. Given that the capacity of a carton has to be 1030cm^3, (a) Using calculus find the value of x for which A is a minimum. (b) Calculate the minimum value of A.
How do you find the normal to a curve at a given co-ordinate?