AP EAMCET · Maths · Differentiation
If \(y=\sinh ^{-1}\left(\frac{1-x}{1+x}\right)\) then \(\frac{d y}{d x}\)
- A \(\frac{-\sqrt{2}}{|1+x| \sqrt{1+x^2}}\)
- B \(\frac{-1}{(1+x) \sqrt{x}}\)
- C \(\frac{1}{\left(1+x^2\right) \sqrt{1+x}}\)
- D \(\frac{-\sqrt{2}}{(1+x) \sqrt{1-x}}\)
Answer & Solution
Correct Answer
(A) \(\frac{-\sqrt{2}}{|1+x| \sqrt{1+x^2}}\)
Step-by-step Solution
Detailed explanation
\(y=\sin h^{-1}\left(\frac{1-x}{1+x}\right)\)…
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