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

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

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

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

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\frac{d}{d x} (\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}

\frac{d y}{d t} = sin (t) - y

\int \frac{- 1}{1 + e ^{x}} d x

x \to - 5 lim (2 (- \frac{3}{10}) (x) - 3)

\frac{\partial}{\partial y} (cos (x + y + z))

x \to \infty lim (\frac{x}{6})

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