Find the derivative of `f(x) =1+x+x^2+x^3+.......+x^(50)`at `x = 1`.

Explanation

To find the derivative of the function \( f(x) = 1 + x + x^2 + x^3 + \ldots + x^{50} \) at \( x = 1 \), we can follow these steps:

### Step 1: Recognize the function
The function \( f(x) \) is a polynomial, specifically a finite geometric series. It can be expressed as:
\[ f(x) = \sum_{n=0}^{50} x^n \]

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