AP EAMCET · Maths · Differentiation
If \(\sin x \sqrt{\cos y}-\cos y \sqrt{\sin x}=0\), then \(\frac{d y}{d x}=\)
- A \(\tan x\)
- B \(1\)
- C \(-1\)
- D \(-\cot x\)
Answer & Solution
Correct Answer
(C) \(-1\)
Step-by-step Solution
Detailed explanation
\( \sin x \sqrt{\cos y} = \cos y \sqrt{\sin x} \) \( \frac{\sin x}{\sqrt{\sin x}} = \frac{\cos y}{\sqrt{\cos y}} \) \( \sqrt{\sin x} = \sqrt{\cos y} \) \( \sin x = \cos y \) \( \frac{d}{dx}(\sin x) = \frac{d}{dx}(\cos y) \) \( \cos x = -\sin y \frac{dy}{dx} \)…
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