Let f be a real-valued function defined by `f(x) = 3x^(2) + 2x + 5` Find f'(1).

Explanation

To find \( f'(1) \) for the function \( f(x) = 3x^2 + 2x + 5 \), we will use the first principle of derivatives. The first principle states that the derivative of a function at a point can be defined as:

\[ f'(a) = \lim_{h \to 0} \frac{f(a+h) - f(a)}{h} \]

### Step 1: Identify the function and the point
We have the function:
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