Explanation Given: f ( x ) = x 3 − 12 x − 4 We know that the critical points are the points at which the derivatives of the function become zero or undefined. Here, the given function is f ( x ) = x 3 − 12 x − 4 Differentiating the above function with respect to x, we get f ' ( x ) = d d x ( x 3 − 12 x − 4 ) = 3 x 2 − 12 = 3 x 2 − 12 = 3 ( x + 2 ) ( x − 2 ) To find out the critical points, we equate the above equation to zero. i.e. 3 ( x + 2 ) ( x − 2 ) = 0 On solving this, we get x = 2 and x = − 2

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Author: Jon Rogawski, Colin Adams

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Chapter 4.3, Problem 24E

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To find the critical points of the function f(x)=x3−12x−4 and find out they are local maxima or local minima.

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Chapter 4.3, Problem 23E

Chapter 4.3, Problem 25E

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Calculus Problem: Please help . thank you. Find f'(x)

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To find the critical points of the function f ( x ) = x 3 − 12 x − 4 and find out they are local maxima or local minima .

Solution Summary: The author explains that the critical points are the points at which the derivatives of the function become zero or undefined.

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To find the critical points of the function f(x)=x3−12x−4 and find out they are local maxima or local minima.

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