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 ▸Solve the following equation: 4(sinx)^2+8cosx-7=0 in the interval 0=<x=<360 degrees.
Two particles, A and B, are moving directly towards each other on a straight line with speeds of 6 m/s and 8 m/s respectively. The mass of A is 3 kg, and the mass of B is 2 kg. They collide to form a single particle of speed "v" m/s. Find v.
What are radians and what are they used for?
If h(x) = 2xsin(2x), find h'(x).