What will be the value of dy/dx,when y=e^x-e^-x/e^x-e^-x

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Q. If

y = e^{x} + e^{- x} + log x^{2}

, find

\frac{d y}{d x}

The general solution of the differential equation $\frac{d y}{d x} = e^{x + y}$ is
(a) $e^{x} + e^{- y} = C$
(b) $e^{x} + e^{y} = C$
(c) $e^{- x} + e^{y} = C$
(d) $e^{- x} + e^{- y} = C$

y = e^{x} + e^{- x}

prove that

\frac{d y}{d x} = \sqrt{y^{2} - 4}

Q. Solve :

\frac{d y}{d x} = \frac{3 e^{2 x} + 3 e^{4 x}}{e^{x} + e^{- x}}

Q. If

y + \sqrt{1 + y^{2}} = e^{x},

then the value of

y

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