3. [0/9 Points] DETAILS PREVIOUS ANSWERS LARCALCET7 4.1.008.MI.SA. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Find the value of the derivative (if it exists) at the indicated extremum. (-4 4V6 3 f ( x ) = - 3xVx+ 2 10 -4 -2 2 -5/ -10 Step 1 The minimum and maximum of a function on an interval are the extreme values, or extrema (the singular form of extrema is extremum), of the function on the interval. In the given problem, the extremum occurs when X = _ -4 The specified function is f(x) = -3xv x + 2 = -3x(x + 2) 1/2. Differentiate f(x) using the product rule. f' (x ) = -3x * ( x + 2 ) * 121 + ( x + 2 ) 1/2 . X Enter an exact number. Submit Skip (you cannot come back)