Must use THE FIRST DERIVATIVE TEST (not graphing calculator) to show work Thanks Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema.f(x) = x³ -- 12x + 7A. The function is increasing on(Type your answer in interval notation. Type integers or simplified fractions. Use a comma to separateanswers as needed.)B. The function is never increasing.Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The function is decreasing on(Type your answer in interval notation. Type integers or simplified fractions. Use a comma to separateanswers as needed.)B. The function is never decreasing.Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.(Type integers or simplified fractions.)A. The function has a local minimum fB. The function has a local maximum f (C. The function has a local maximum f===and no local maximum.and a local minimum fand no local minimum.=

Let's find function decreasing, increasing interval and local minimum and maximum.

Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema. f(x)=x³-12x+7 A. The function is increasing on (Type your answer in interval notation. Type integers or simplified fractions. Use a comma to separate answers as needed.) B. The function is never increasing. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The function is decreasing on (Type your answer in interval notation. Type integers or simplified fractions. Use a comma to separate answers as needed.) B. The function is never decreasing. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Type integers or simplified fractions.) A. The function has a local minimum f B. The function has a local maximum f C. The function has a local maximum f = = = and no local maximum. and a local minimum f( and no local minimum.