Find the values of x, if any, for which f(x) has local maximum and local minimum when
`f(x)=5x^6-18x^5+15x^4-10`

Explanation

To find the values of \( x \) for which the function \( f(x) = 5x^6 - 18x^5 + 15x^4 - 10 \) has local maximum and local minimum points, we will follow these steps:

### Step 1: Find the derivative of the function
To find the critical points, we first need to compute the derivative \( f'(x) \).

\[ f'(x) = \frac{d}{dx}(5x^6 - 18x^5 + 15x^4 - 10) \]
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