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  4. The number of local maxima/maximum for the function y=x2-2sin x,∀ x∈ (0 , (π /2)) is

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Q. The number of local maxima/maximum for the function $y=x^{2}-2sin x,\forall x\in \left(0 , \frac{\pi }{2}\right)$ is

NTA AbhyasNTA Abhyas 2020Application of Derivatives

Solution:

As, $\frac{d y}{d x}=2\left(x - cos x\right)$
Solution
Hence, the function shows a local minimum at $x=\alpha $ but no maximum