find the value(s) of c that satisfy the (f(b) - f(a))/b-a = f'(c) in the conclusion of the mean value theorem for the function and interval. f(x) = x^2 + 5x + 2, [1, 2]

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find the value(s) of c that satisfy the (f(b) - f(a))/b-a = f'(c) in the conclusion of the mean value theorem for the function and interval. f(x) = x^2 + 5x + 2, [1, 2]

Mathematics
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so you want the slope of the line that runs between your interval ends (1,2) then find the point that that slope touches only once.
In other words you need to find two things: the slope between 2 points and the derivative of the function f(x). f'(x) = f(2) - f(1)/(2-1) solve for x
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