MHT CET · Maths · Differentiation
If \(x=\mathrm{e}^{\tan ^{-1}\left(\frac{\mathrm{y}-x^2}{x^2}\right)}\), then \(\left(\frac{\mathrm{dy}}{\mathrm{d} x}\right)\) at \(x=1\) is
- A 1
- B 0
- C 2
- D 3
Answer & Solution
Correct Answer
(D) 3
Step-by-step Solution
Detailed explanation
\(\ln x = \tan ^{-1}\left(\frac{\mathrm{y}}{x^2}-1\right)\) \(\tan(\ln x) = \frac{\mathrm{y}}{x^2}-1\)
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