If ` y=a sin x + b cos x`, then `((dy)/dx)^2+y^2` is

Options

A. function of x
B. function of y
C. function of x and y
D. constant

Explanation

To solve the problem, we need to find the expression \(\left(\frac{dy}{dx}\right)^2 + y^2\) given that \(y = a \sin x + b \cos x\).

### Step-by-Step Solution:

1. **Differentiate \(y\) with respect to \(x\)**:
\[ y = a \sin x + b \cos x \]
...