Question

find the critical points of f(x) = cos(x) − sin^2(x) on [0,2pi]

Answer 1

Critical points happen when the derivative is zero. So first find the derivative of f(x). Then set f'(x) equal to zero and solve for x. (You might want to use a unit circle to help you solve, especially since it covers the interval [0,2π].) These x values are your critical points. Do you need help finding the derivative?