Use the derivative f'(x) = (x - 1)(x + 2)(x+4) to determine the local maxima and minima off and the intervals of increase and decrease. Sketch a possible graph of f (f is not unique). The local maximum/maxima is/are at x = The local minimum/minima is/are at x = The interval(s) of increase is(are) (Type your answer in interval notation. Use a comma to separate answers as needed.) The interval(s) of decrease is(are) (Type your answer in interval notation. Use a comma to separate answers as needed.) Which is a possible graph of f? OA. (Use a comma to separate answers as needed.) (Use a comma to separate answers as needed.) m Q OB. O C. Ay D. G

Q: 62²(2³-128) (³+64)³ Consider the function f and its derivatives f(x)=3+64 f'(x)= -2(³-32) (+64)2…

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A: Note :- Inflexian points of a function can be calculate by putting f"(x) =0 and solve for x.  We get…

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A: Calculation:First, simplify the given expression:

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A: To identify the function fx when f' and value of function fx at a point is known.

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A: