F. Pleae help with a step by step guide. Thank you.   Let f(x)=x^3 −12x + 5 (a)  What is the y-intercept? (b)  Find all critical points for the first derivative. (c)  Use the second derivative test to determine whether these critical points are minima, maxima, or points of inflection. (d)  Use the second derivative to find any points of inflection. (e)  Sketch the graph, showing and labeling all extrema, points of inflection, and the y-intercept. You do not need to determine the x-intercepts.

Question

F. Pleae help with a step by step guide. Thank you.

 

Let f(x)=x^3 −12x + 5

    1. (a)  What is the y-intercept?

    2. (b)  Find all critical points for the first derivative.

    3. (c)  Use the second derivative test to determine whether these critical points are minima, maxima, or points of inflection.

    4. (d)  Use the second derivative to find any points of inflection.

    5. (e)  Sketch the graph, showing and labeling all extrema, points of inflection, and the y-intercept. You do not need to determine the x-intercepts.

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