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SN1 Reaction Mechanism

y=x+(1/x+1), ...

Question

y=x+(1/x+1), then find dy/dx.

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y = \frac{1}{\sqrt{x}} = (x)^{- 1 / 2}

\frac{d y}{d x}

y = {sin}^{2} ⎡ ⎢ ⎢ ⎢ ⎢ ⎣ {cot}^{- 1} ⎛ ⎜ ⎜ ⎜ ⎜ ⎝ \frac{1}{\sqrt{\frac{1 + x}{1 - x}}} ⎞ ⎟ ⎟ ⎟ ⎟ ⎠ ⎤ ⎥ ⎥ ⎥ ⎥ ⎦

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y = log \frac{1 + x}{1 - x}

\frac{d y}{d x}

({tan}^{- 1} x)^{y} + y^{cot x} = 1

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y = {sec}^{- 1} (\frac{\sqrt{x} + 1}{\sqrt{x} - 1}) + {sin}^{- 1} (\frac{\sqrt{x} - 1}{\sqrt{x} + 1})

\frac{d y}{d x}

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