TS EAMCET · Maths · Differentiation
\(x=\cos \theta, y=\sin 5 \theta \Rightarrow\left(1-x^2\right) \frac{d^2 y}{d x^2}-x \frac{d y}{d x}\) is equal to
- A \(-5 y\)
- B \(5 y\)
- C \(25 y\)
- D \(-25 y\)
Answer & Solution
Correct Answer
(D) \(-25 y\)
Step-by-step Solution
Detailed explanation
Given, \(x=\cos \theta, y=\sin 5 \theta\) \(\frac{d x}{d \theta}=-\sin \theta, \frac{d y}{d \theta}=5 \cos 5 \theta\)…
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