Critical Points of a Trigonometric Function

Question

For the function $$f(x)=\sin(x)+\cos(x)$$, find all values of $$x$$ in the interval [0, $$2*\pi$$) such that $$f'(x)=0$$.

Accepted Answer

x = $$\frac{\pi}{4}$$ and x = $$\frac{5\pi}{4}$$

Answer

x = $$\frac{\pi}{4}$$ only

Answer

x = $$\frac{\pi}{2}$$ and x = $$\frac{3\pi}{2}$$

Answer

x = $$\frac{\pi}{4}$$ and x = $$\frac{3\pi}{4}$$

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