AP EAMCET · Maths · Differentiation
If \(x^2 \tan ^{-1} \frac{y}{x}-y^2 \tan ^{-1} \frac{x}{y}=k\), then \(\left(\frac{d y}{d x}\right)_{(1,1)}=\)
- A \(0\)
- B \(\pi / 4\)
- C \(1\)
- D \(\pi / 2\)
Answer & Solution
Correct Answer
(B) \(\pi / 4\)
Step-by-step Solution
Detailed explanation
Given, \(x^2 \tan ^{-1}\left(\frac{y}{x}\right)-y^2 \tan ^{-1}\left(\frac{x}{y}\right)=K\) Differentiate with respect to \(x\), we get.…
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