How would you find the maximum value and smallest +ve value the maximum occurs at for f(x) = -cosx + sqrt3sint ?
I've got as far as
f'(x) = sqrt3cosx + sinx
but I'm not sure where to go now?
Well that's impossible because sqrt(3)> 1 and we would have to have which is not true: , not 1. So multiply and divide by the square root of that, 2:
and now we must have cos(a)= -1/2 and sin(a)= -sqrt(3)/2 which says that .
That is, . And it is easy to find maximum and minimum values for that.