What is the derivative of sqrt(e^x+17) ?

The derivative of sqrt(e^x+17) is (e^x)/(2sqrt(e^x+17))

What is the first derivative of sqrt(e^x+17) ?

The first derivative of sqrt(e^x+17) is (e^x)/(2sqrt(e^x+17))

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derivative of

e^{x} + 17

\frac{e ^{x}}{2 e ^{x} + 17}

Solution steps

\frac{d}{d x} (e^{x} + 17)

Apply the chain rule:

\frac{1}{2 e ^{x} + 17} \frac{d}{d x} (e^{x} + 17)

= \frac{1}{2 e ^{x} + 17} \frac{d}{d x} (e^{x} + 17)

\frac{d}{d x} (e^{x} + 17) = e^{x}

= \frac{1}{2 e ^{x} + 17} e^{x}

Simplify

\frac{1}{2 e ^{x} + 17} e^{x} : \frac{e ^{x}}{2 e ^{x} + 17}

= \frac{e ^{x}}{2 e ^{x} + 17}

\frac{d}{d x} (ln (\frac{cos ( x )}{sin ( x )}))

- e^{t} + \frac{1}{2} sin (t) + \frac{1}{2} cos (t)

\int cos (a x + b) d x

\int_{- 1}^{3} 6 x (x - 1) d x

\int csch^{2} (x) d x

What is the derivative of sqrt(e^x+17) ?
The derivative of sqrt(e^x+17) is (e^x)/(2sqrt(e^x+17))
What is the first derivative of sqrt(e^x+17) ?
The first derivative of sqrt(e^x+17) is (e^x)/(2sqrt(e^x+17))