Evaluate differentiation of y with respect to x :
`y=x^(2)-sinx`

Explanation

To evaluate the differentiation of \( y \) with respect to \( x \) for the function \( y = x^2 - \sin x \), we will follow these steps:

### Step-by-Step Solution:

1. **Identify the function**: We have \( y = x^2 - \sin x \).

2. **Apply the differentiation operator**: We need to find \( \frac{dy}{dx} \). This can be expressed as:
\[ \frac{dy}{dx} = \frac{d}{dx}(x^2 - \sin x) \]

3. **Differentiate each term**: We can differentiate each term separately:
- The derivative of \( x^2 \) is \( 2x \).
- The derivative of \( -\sin x \) is \( -\cos x \).

Therefore, we have:
\[ \frac{dy}{dx} = \frac{d}{dx}(x^2) - \frac{d}{dx}(\sin x) = 2x - \cos x \]

4. **Combine the results**: Putting it all together, we get:
\[ \frac{dy}{dx} = 2x - \cos x \]

### Final Answer:
\[ \frac{dy}{dx} = 2x - \cos x \]

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