Question

Find the points of local maxima and local minima of f(x)=x^{3}-6x^{^{2}}+9x+2014,x\, \varepsilon=x^{3}-6x^{^{2}}+9x+2014,x\varepsilon

07 Mar 2024
Answer :
Word Count : 283
To find the local maxima and minima of the function: \[ f(x) = x^3 - 6x^2 + 9x + 2014 \] we follow these steps: ### Step 1: Compute the First Derivative To find critical points, we differentiate \( f(x) \): \[ f'(x) = \frac{d}{dx} \left( x^3 - 6x^2 + 9x + 2014 \right) \] \[ ______ _____ _________ _________ ______ ___ ___ __________ ____ _________ _____ ________.
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