Question: the chart is for question 6 17. Consider the function f (x) = x2 x 11 . 3. Find the average rate of change of
the chart is for question 6


![of f (x) on [0,6] . (2 points) b. Find the instantaneous](https://dsd5zvtm8ll6.cloudfront.net/si.experts.images/questions/2024/11/67303e83d1524_97967303e83c0cc4.jpg)
17. Consider the function f (x) = x2 x 11 . 3. Find the average rate of change of f (x) on [0,6] . (2 points) b. Find the instantaneous rate of change of f (x) when x = 4 . (2 points) c. Write an equation of the line tangent to fat the point where x = 4. (2 points) (1. Still using f (x) above, if g(x) = f (x) , find all values of x where the tangent lines to g are X 3 horizontal. Show how you arrive at your answer. (3 points) 6. The functions f (x) and g(x) are differentiable for all values of x. Selected values for f (x) and g(x) and their derivatives are shown in the chart above. a. If s(x) : f(x) g(x), find s'(2). (1 point) b. If h(x) : f (x)g(x), find h'(1). (2 points) c. If km = it\"; , find k'(1). (3 points) (1. If j(x) : e" - f(x) , find j '(1). Leave your answer in terms of e. (2 points) \f
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