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Let f(x) = {{:(x^(3) + x^(2) + 10x, x lt...

Let `f(x) = {{:(x^(3) + x^(2) + 10x, x lt 0),(-3 sin x,x ge 0):}`.
Investigate x = 0 for local maxima/minima.

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The correct Answer is:
Since `f'(-0) gt 0 and f'(0^(+)) lt 0, x = 0` is the point of local maxima.
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