If \[x=\exp \left\{ {{\tan }^{-1}}\left( \frac{y-{{x}^{2}}}{{{x}^{2}}} \right) \right\}\,\,\], then \[\frac{dy}{dx}\]equals [MP PET 2002]

\[x\,[1+\tan \,(\log x)]+{{\sec }^{2}}(\log x)\]

\[2x\,[1+\tan \,(\log x)]+x{{\sec }^{2}}(\log x)\]

\[2x\,[1+\tan \,(\log x)]+{{x}^{2}}\,\,{{\sec }^{2}}(\log x)\]

\[2x\,[1+\tan \,(\log x)]+{{\sec }^{2}}(\log x)\]

If \[x=\exp \left\{ {{\tan }^{-1}}\left( \frac{y-{{x}^{2}}}{{{x}^{2}}}

1.	If \[x=\exp \left\{ {{\tan }^{-1}}\left( \frac{y-{{x}^{2}}}{{{x}^{2}}} \right) \right\}\,\,\], then \[\frac{dy}{dx}\]equals [MP PET 2002]
A.	\[2x\,[1+\tan \,(\log x)]+x{{\sec }^{2}}(\log x)\]
B.	\[x\,[1+\tan \,(\log x)]+{{\sec }^{2}}(\log x)\]
C.	\[2x\,[1+\tan \,(\log x)]+{{x}^{2}}\,\,{{\sec }^{2}}(\log x)\]
D.	\[2x\,[1+\tan \,(\log x)]+{{\sec }^{2}}(\log x)\]
Answer» B. \[x\,[1+\tan \,(\log x)]+{{\sec }^{2}}(\log x)\]

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If \[x=\exp \left\{ {{\tan }^{-1}}\left( \frac{y-{{x}^{2}}}{{{x}^{2}}} \right) \right\}\,\,\], then \[\frac{dy}{dx}\]equals [MP PET 2002]

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