If `f(x)=alphax^n ,` prove that `alpha=(f^(prime)(1))/n` .

Explanation

To prove that \( \alpha = \frac{f'(1)}{n} \) for the function \( f(x) = \alpha x^n \), we will follow these steps:

### Step 1: Differentiate the function
Given:
\[ f(x) = \alpha x^n \]
To find \( f'(x) \), we will differentiate \( f(x) \) with respect to \( x \).
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