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Let f(x)={x^(3)+x^(2)+10x, xlt0.Investig...

Let f(x)=`{x^(3)+x^(2)+10x, xlt0`.Investigate x=0 for local
`-3sinx,xge0`
maxima/minima.

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To investigate the local maxima or minima of the function \( f(x) \) at \( x = 0 \), we will follow these steps: ### Step 1: Define the Function The function is defined piecewise as: \[ f(x) = \begin{cases} x^3 + x^2 + 10x & \text{for } x < 0 \\ ...
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