What is the derivative of sqrt(e^{2x)-1} ?

The derivative of sqrt(e^{2x)-1} is (e^{2x})/(sqrt(e^{2x)-1)}

What is the first derivative of sqrt(e^{2x)-1} ?

The first derivative of sqrt(e^{2x)-1} is (e^{2x})/(sqrt(e^{2x)-1)}

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\frac{d}{d x} (e^{2 x} - 1)

\frac{e ^{2 x}}{e ^{2 x} - 1}

Solution steps

\frac{d}{d x} (e^{2 x} - 1)

Apply the chain rule:

\frac{1}{2 e ^{2 x} - 1} \frac{d}{d x} (e^{2 x} - 1)

= \frac{1}{2 e ^{2 x} - 1} \frac{d}{d x} (e^{2 x} - 1)

\frac{d}{d x} (e^{2 x} - 1) = 2 e^{2 x}

= \frac{1}{2 e ^{2 x} - 1} \cdot 2 e^{2 x}

Simplify

\frac{1}{2 e ^{2 x} - 1} \cdot 2 e^{2 x} : \frac{e ^{2 x}}{e ^{2 x} - 1}

= \frac{e ^{2 x}}{e ^{2 x} - 1}

ln (x)

2 y y^{^{'}} + 6 = y^{2} + 6 x

\int_{3}^{4} (5 - x^{2}) - (17 - 7 x) d x

\frac{\partial}{\partial x} (x^{2} tan (x y))

\frac{d y}{d t} = y + t

What is the derivative of sqrt(e^{2x)-1} ?
The derivative of sqrt(e^{2x)-1} is (e^{2x})/(sqrt(e^{2x)-1)}
What is the first derivative of sqrt(e^{2x)-1} ?
The first derivative of sqrt(e^{2x)-1} is (e^{2x})/(sqrt(e^{2x)-1)}