TS EAMCET · Maths · Differentiation
If \(y=\log \left(x-\sqrt{x^2-1}\right)\), then \(\left(x^2-1\right) y^{\prime \prime}+x y^{\prime}+e^y+\sqrt{x^2-1}=\)
- A 0
- B 1
- C \(\sqrt{x^2-1}\)
- D \(x\)
Answer & Solution
Correct Answer
(D) \(x\)
Step-by-step Solution
Detailed explanation
\(y=\log \left(x-\sqrt{x^2-1}\right) \Rightarrow e^y=x-\sqrt{x^2-1}\) Differentiate w.r.t x , we get…
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