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Find the points of local maxima and lo...

Find the points of local maxima and local minima, if any, and local maximum and local minimum values of `f(x)=sin2x` , where `0< x < pi`

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`f(x)=sin 2 x`

Differentiation wrt `x`, we get

`{f}^{prime}({x})=2 cos 2 {x}, 0<{x}< pi`

critical points `f^{prime}(x)=0`

`Rightarrow 2 {x}=frac{pi}{2}, frac{3 pi}{2} `

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