Question

Find the local maxima and local minima, of the function f(x) = sin x - cos x, 0 < x < 2π. Also find the local maximum and local minimum values.

Answer 1

Given f(x) = sin x - cos x,   0 < x < 2π

f'(x) = cos x + sin x,

. ^.. f'(x) = 0

or cos x + sin x = 0 or tan x = -1