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Answer to Question #1865 in Calculus for Abhilash

Question #1865
Find a number c that satisfies the Mean Value Theorem for the function
F(x) = x ^3 -2x on the interval [1,2]

Round your answers to 4 decimal places
Expert's answer
According to the Mean Value Theorem,
f'(c) = (f(b) - f(a))/(b-a) = (f(2) - f(1))/(2-1) = 4 +1 = 5
f'(c) = 3c2 - 2 = 5
3c2 = 7
c = √(7/3) = +1.5275

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