Horizontal Tangents of a Sine Function

Question

Consider the function $$f(x)=\sin(2*x)$$. Find all values of $$x$$ in the interval [0, $$2*\pi$$) such that the derivative $$f'(x)$$ is 0.

Accepted Answer

x = $$\frac{\pi}{4}, \frac{3\pi}{4}, \frac{5\pi}{4}, \frac{7\pi}{4}$$

Answer

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

Answer

x = $$\frac{\pi}{4}$$ and $$\frac{7\pi}{4}$$

Answer

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

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