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Find the local maxima or local minima of `f(x) = x^(3) - 6x^(2) + 9x + 15` Also, find the local maximum or local minimum values as the case may be

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To find the local maxima or minima of the function \( f(x) = x^3 - 6x^2 + 9x + 15 \), we will follow these steps: ### Step 1: Find the first derivative We start by differentiating the function \( f(x) \). \[ f'(x) = \frac{d}{dx}(x^3 - 6x^2 + 9x + 15) \] ...
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