Question

if f(x)=(x-1)sin x, find f' (0)

Answer 1

Use product rule, where u = x-1 and v = sinx

Answer 2

f(x) = uv
f'(x)= (du*v)+(dv*u)
f'(x) = (1)(sin x) + (x-1)(cosx)
f'(x)= sin(x) + xcos(x) - cos(x)