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

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

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

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

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derivative of

y = 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}}

f (x) = 5 - 5 x^{2}, (- 2, - 15)

f (x) = 5^{1 - x}

\int \frac{x ^{2} + 1}{x ^{3} + x ^{2} - 2 x} d x

\int \frac{e ^{2 x}}{e ^{2 x}} d x

f (x) = \frac{( 4 x ^{5} + 8 )}{x ^{3}}

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