Question: Use the derivative f'(x) = x(x -2)(x + 4) to determine the local maxima and minima of f and the intervals of increase and decrease.

 Use the derivative f'(x) = x"(x -2)(x + 4) to determinethe local maxima and minima of f and the intervals of increaseand decrease. Sketch a possible graph of f (f is not unique).

The local maximum/maxima is/are at x =]. (Use a comma to separateanswers as needed.) The local minimum/minima is/are at x =]. (Use acomma to separate answers as needed.) The interval(s) of increase is/are (Type

Use the derivative f'(x) = x"(x -2)(x + 4) to determine the local maxima and minima of f 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 =]. (Use a comma to separate answers as needed.) The local minimum/minima is/are at x =]. (Use a comma to separate answers as needed.) 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? O A. O B. O C. O D. AY Ay 106- -10 10 10Use the derivative f to determine the local minima and maxima of f and the intervals of increase and decrease. Sketch a possible graph of f (f is not unique). f'(x) = 14 sin 2x on [ - 2n,2x] The local minimum/minima is/are at x =]. (Use a comma to separate answers as needed. Type an exact answer, using x as needed.) The local maximum/maxima is/are at x =]. (Use a comma to separate answers as needed. Type an exact answer, using x as needed.) Find the intervals of increase and decrease of f. Choose the correct answer below. O f is decreasing on 2. - 32) . ( - . = ). (0.2 ). and ( . E ) f is increasing on (- -) (- 20). (2 ). and ( 26) O f is increasing on -2).(-x -2). (0.= ). and ( . = ] f is decreasing on 2 ' , - x. -20. 2 . and Sketch a possible graph of f. Choose the correct graph below. O A. O B. O C. O D. 2x En 2xUse the derivative f'(x) = (x - 2)(x + 1)(x + 5) 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 = . (Use a comma to separate answers as needed.) The local minimum/minima is/are at x = . (Use a comma to separate answers as needed.) 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? O A. O B. O C. O D. A to 710

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