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

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

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

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

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derivative of

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

- 2 e^{- x}

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply exponent rule:

\frac{1}{a} = a^{- 1}

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

Apply the chain rule:

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

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

\frac{d}{d x} (- x) = - 1

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

Simplify

= - 2 e^{- x}

x \to 7 lim (7^{x} + 12 (x))

\frac{\partial}{\partial y} (100 e^{- x - 2 y})

\int \frac{( - 1 ) ^{n} x ^{2 n}}{n !} d x

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

\int \frac{2 x ^{2} - 5 x - 2}{( x - 2 ) ^{2} ( x - 1 )} d x

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