Consider the function f(x) x 3 2x on the closed interval 2,6 a ) Find the exact value of the slope of the scant line connecting (2,f(2)) and (6,f(6)) m b ) By the Mean Value Theorem, there exists c in (2,6) so that m f'(c) Find all values of such c in (2,6) Give exact values and if there is more than one solution please separate them with a comma c

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Question: Consider the function f(x)=x 3 -2x on the closed interval [2,6] a.) Find the exact value of the slope of the scant line connecting (2,f(2))

Consider the function f(x)=x³-2x on the closed interval [2,6]

a.) Find the exact value of the slope of the scant line connecting (2,f(2)) and (6,f(6)).

b.) By the Mean Value Theorem, there exists c in (2,6) so that m=f'(c). Find all values of such c in (2,6). Give exact values and if there is more than one solution please separate them with a comma.

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