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Let f(x) = {{:( 2 sin x ,, x gt 0) , ( x...

Let f(x) = `{{:( 2 sin x ,, x gt 0) , ( x^(2) ,, x le 0):}` . Investigate the function for maxima/minima at x = 0 .

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The correct Answer is:
`x=0` is a point of maxima as `f(0^(-)lt f(0^(+) ` and `f(0^(+))lt f(0)`.
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