16 All Parts 17 And Extra Credit 1 1 (43.61 KiB) Viewed 28 times
16. Given: f(x)=x3−x2−12x+5 (1) Explain why the Mean Value Theorem can be applied to f on [1,4]. (1 point) (2) Find the average rate of change of f on [1,4]. (4 points) (3) Find all values of " c " that satisfy the conclusion of the Mean Value Theorem on [ 1,4]. (6 points)
(5 points) 17. Consider the curve given by xy2−x3y=6. Find dy/dx. Simplify your answer well. Extra Credit #1 (3 points) if you have time In problem 16 (above), find all points on the curve whose x-coordinate is 1 . Show all reasoning.
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