Differentiate each of the following from first principle: `e^(x^2+1)`

Explanation

To differentiate the function \( f(x) = e^{x^2 + 1} \) using the first principle of derivatives, we follow these steps:

### Step 1: Write the definition of the derivative
The derivative of a function \( f(x) \) using the first principle is defined as:
\[ f'(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h} \]

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