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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
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For $f(x)=\sin x+3x-\dfrac{2}{\pi}(x^{2}+x)$, where $x\in\left[0,\tfrac{\pi}{2}\right]$, consider:
(I) $f$ is increasing in $\left(0,\tfrac{\pi}{2}\right)$.
(II) $f'$ is decreasing in $\left(0,\tfrac{\pi}{2}\right)$.
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