TS EAMCET · Maths · Differentiation
If \(\sqrt{x+y}-\sqrt{x-y}=c\), then \(\frac{d^2 y}{d x^2}=\)
- A \(\frac{1}{y}\left(\frac{d y}{d x}\right)^2\)
- B \(\frac{-c^4}{4 y^3}\)
- C \(y\left(\frac{d y}{d x}\right)^2\)
- D \(\frac{-c^2}{4 y^3}\)
Answer & Solution
Correct Answer
(B) \(\frac{-c^4}{4 y^3}\)
Step-by-step Solution
Detailed explanation
It is given that \(\sqrt{x+y}-\sqrt{x-y}=c\) On squaring both sides, we get \((x+y)+(x-y)-2 \sqrt{x^2-y^2}=c^2\) \(2 x-c^2=2 \sqrt{x^2-y^2}\) Again on squaring both sides, we get…
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