Let f ( ac ) = act - Gap ?

Please provide full solution with the answer. This is a calculus question.

Let f ( ac ) = act - Gap ?.( a ) Locate the critical points of the given function .( b) Use the first derivative test to identify the local maxima and minima .( C ) Use the second derivative test to identify the inflection points , local maxima , and local minimal( d ) Sketch the graph of f ( ac ) .