What is the derivative of 2e^{-x} ?

The derivative of 2e^{-x} is -2e^{-x}

What is the first derivative of 2e^{-x} ?

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

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derivative of

2 e^{- x}

- 2 e^{- x}

Solution steps

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

Take the constant out:

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

= 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}

\int \frac{sec ^{2} ( x )}{tan ^{3} ( x )} d x

6 t \frac{d y}{d t} + y = t

3 x^{2} - 3

x^{5} sin (x)

x \to 0 lim (\frac{1 - cos ^{2} ( 3 x )}{x ^{2}})

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