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Examine the function f(x)=x^(3)-9x^(2)+2...

Examine the function `f(x)=x^(3)-9x^(2)+24x` for maxima and minima.

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To examine the function \( f(x) = x^3 - 9x^2 + 24x \) for maxima and minima, we will follow these steps: ### Step 1: Find the first derivative \( f'(x) \) To find the critical points, we need to differentiate the function: \[ f'(x) = \frac{d}{dx}(x^3 - 9x^2 + 24x) = 3x^2 - 18x + 24 \] ...
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