The minimum value of `(x^2+(250)/x)` is (a) 75 (b) 50 (c) 25 (d) 55

Explanation

To find the minimum value of the function \( f(x) = x^2 + \frac{250}{x} \), we will follow these steps:

### Step 1: Find the first derivative
We start by differentiating the function with respect to \( x \):
\[ f'(x) = \frac{d}{dx}(x^2) + \frac{d}{dx}\left(\frac{250}{x}\right) \]
Using the power rule and the quotient rule, we have:
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