Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema.f left parenthesis x right parenthesis equals left parenthesis x minus 2 right parenthesis e Superscript 3 xf(x)=(x2)e3xQuestion content area bottomPart 1Compute the derivative of f(x).f prime left parenthesis x right parenthesisf(x)equals=e Superscript 3 x Baseline left parenthesis 3 x minus 5 right parenthesise3x(3x5)Part 2Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A.The function is increasing onleft parenthesis five thirds comma infinity right parenthesis53,.(Type your answer using interval notation. Type integers or simplified fractions. Use a comma to separate answers as needed.)B.The function is never increasing.Part 3Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A.The function is decreasing onleft parenthesis negative infinity comma five thirds right parenthesis,53.(Type your answer using interval notation. Type integers or simplified fractions. Use a comma to separate answers as needed.)B.The function is never decreasing.