Mean value theorem for x^2

MediumCalculus~4m

For f(x)=x2f(x)=x^2 on [0,2][0,2], find the point cc guaranteed by the Mean Value Theorem.

Show hints (2)+
  1. Compute the average slope over [0,2][0,2].
  2. Set f′(c)f'(c) equal to it and solve.

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