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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\int sin^{4} (4 x) cos^{3} (4 x) d x

\int 7 t e^{t} d t

\frac{( 2 + x ) d y}{d x} = 3 y

x \to a lim (x)

x \to 7 lim (8 x - 3)

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