1.

If \[y={{e}^{{{\tan }^{-1}}x}}\], then \[(1+{{x}^{2}})\frac{{{d}^{2}}y}{d{{x}^{2}}}=\]

A.            \[(1-2x)\frac{dy}{dx}\]
B.            \[-2x\frac{dy}{dx}\]
C.            \[-x\frac{dy}{dx}\]
D.            0
Answer» B.            \[-2x\frac{dy}{dx}\]


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