Quiz 1_solns - Math 1341 Dr Nguyen Quiz 1 Duration 20...

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Math 1341, Dr. Nguyen Quiz 1 September 15, 2016 Duration: 20 minutes. There are 3 problems of total 25 points. Graphing calculators are allowed. Show all your work for full credits. Name: 1) (7 pts) Let f ( x ) = x 2 - 3 x + 2. (a) Find the average rate of change (AROC) of f with respect to x on the interval [1 , 1 + h ], algebraically simplify your answer completely. SOLUTIONS
(b) Use the result of part (a) to calculate the instantaneous rate of change (IROC) of f at x = 1. 2) (8 pts) Let f ( x ) = p x + 3, where x ≥ - 3. (a) Calculate f 0 ( x ), the derivative of f ( x ) wrt x , using the limit definition of the derivative (and showing all algebra steps!)
(b) Use the result of part (a) to find the slope of the tangent line to the graph of f ( x ) at x = 6. 1

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