Question

Question #4f1cd

Answer 1

I assume this is `f(x) = x^2+1`, in which case the number you want is `1/2`.

Explanation:

The `c` in the conclusion of MVT is every number in `(0,1)` that satifies `f'(x) = (f(1)-f(0))/(1-0)`.

Solving

`2x = (2 - 1)/(1-0)`, we fet

`x = 1/2`.