If `f` is defined by `f(x)=x^2` , find `f\ '\ (2)` .

Explanation

To find \( f'(2) \) for the function \( f(x) = x^2 \), we will follow the steps of differentiation using the definition of the derivative.

### Step-by-Step Solution:

1. **Write the Definition of the Derivative**:
The derivative of a function \( f \) at a point \( x \) is defined as:
\[
f'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h}
...