If `y=asinx+bcosx ,t h e ny^2+((dy)/(dx))^2` is a function of `x` (b) function of`y` function of `xa n dy` (d) constant

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 determine whether the expression \( y^2 + \left( \frac{dy}{dx} \right)^2 \) is a function of \( x \), \( y \), \( x \) and \( y \), or a constant. We start with the given equation:

1. **Given Equation**:
\[ y = a \sin x + b \cos x \]

2. **Differentiate \( y \)**:
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