What is the derivative of sqrt(e^{2x)-16} ?

The derivative of sqrt(e^{2x)-16} is (e^{2x})/(sqrt(e^{2x)-16)}

What is the first derivative of sqrt(e^{2x)-16} ?

The first derivative of sqrt(e^{2x)-16} is (e^{2x})/(sqrt(e^{2x)-16)}

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\frac{d}{d x} (e^{2 x} - 16)

\frac{e ^{2 x}}{e ^{2 x} - 16}

Solution steps

\frac{d}{d x} (e^{2 x} - 16)

Apply the chain rule:

\frac{1}{2 e ^{2 x} - 16} \frac{d}{d x} (e^{2 x} - 16)

= \frac{1}{2 e ^{2 x} - 16} \frac{d}{d x} (e^{2 x} - 16)

\frac{d}{d x} (e^{2 x} - 16) = 2 e^{2 x}

= \frac{1}{2 e ^{2 x} - 16} \cdot 2 e^{2 x}

Simplify

\frac{1}{2 e ^{2 x} - 16} \cdot 2 e^{2 x} : \frac{e ^{2 x}}{e ^{2 x} - 16}

= \frac{e ^{2 x}}{e ^{2 x} - 16}

\frac{d}{d x} (5 x + 6)

\int 7 csc^{2} (x) d x

\int r^{2} (r^{3} + 6)^{8} d r

(x + 1) (x - 2) y^{^{'}} + y = 0

\frac{d y}{d x} - \frac{1}{x} y = x y^{2}

What is the derivative of sqrt(e^{2x)-16} ?
The derivative of sqrt(e^{2x)-16} is (e^{2x})/(sqrt(e^{2x)-16)}
What is the first derivative of sqrt(e^{2x)-16} ?
The first derivative of sqrt(e^{2x)-16} is (e^{2x})/(sqrt(e^{2x)-16)}