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Let f(x)={x^3+x^2+10 x ,\ \ x<0-3sinx ,\...

Let `f(x)={x^3+x^2+10 x ,\ \ x<0-3sinx ,\ \ \ \ xgeq0` . Investigate `x=0` for local maxima/minima.

Text Solution

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The correct Answer is:
Since `f_(0) gt 0` and `f_(+)(0), x= 0` is the point of local maximum.
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