Find the local maxima and local minima, if any, of the following functions. Find also the local maximum and the local minimum values, as the case may be:
`(i) f(x) = x^(2)`
` (ii) g(x) = x^(3) -3x`

Explanation

To find the local maxima and minima of the given functions, we will follow these steps:

### (i) For the function \( f(x) = x^2 \):

1. **Find the first derivative**:
\[ f'(x) = \frac{d}{dx}(x^2) = 2x \]
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