Verify the Mean Value Theorm for f(x)=`x^2` in the interval [2,4].

Explanation

To verify the Mean Value Theorem (MVT) for the function \( f(x) = x^2 \) in the interval \([2, 4]\), we will follow these steps:

### Step 1: Check the Conditions of the Mean Value Theorem

The Mean Value Theorem states that if a function \( f(x) \) is continuous on the closed interval \([a, b]\) and differentiable on the open interval \((a, b)\), then there exists at least one number \( c \) in \((a, b)\) such that:

\[
f'(c) = \frac{f(b) - f(a)}{b - a}
...