Differentiate each function by applying the basic rules of differentiation
`(x^(10))/(2)+(x^(5))/(5)+6`

Explanation

To differentiate the function \( y = \frac{x^{10}}{2} + \frac{x^{5}}{5} + 6 \), we will apply the basic rules of differentiation step by step.

### Step 1: Identify the function
Let:
\[ y = \frac{x^{10}}{2} + \frac{x^{5}}{5} + 6 \]

...