determine-the-intervals-on-which-the-function-fxsin2x-fx-sin2x-fxsin2x-is-increa

Question

Determine the intervals on which the function $f(x) = \sin^2(x)$ is increasing or decreasing on the interval $\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]$ .

Accepted Answer

Decreasing on $f(x) = \sin^2(x)$

Increasing on $\left(0,\frac{\pi}{2}\right)$

Answer

Increasing on $f(x) = \sin^2(x)$

Answer

Decreasing on $(- \frac{π}{2}, \frac{π}{2})$

Answer

Decreasing on $f(x) = \sin^2(x)$

Increasing on $\left(-\frac{\pi}{2},0\right)$

Determine the intervals on which the function f(x)=sin2(x) f(x) = \sin^2(x) f(x)=sin2(x) is increasing or decreasing on the interval [−π2,π2] \left[-\frac{\pi}{2}, \frac{\pi}{2}\right] [−2π,2π].

Determine the intervals on which the function $f(x) = \sin^2(x)$ is increasing or decreasing on the interval $\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]$ .