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

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

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

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

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derivative of

e^{- 2 x}

- 2 e^{- 2 x}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= - 2 e^{- 2 x}

x \to 0 lim (coth (x))

3 x^{2} + 4

\frac{1}{1 - x}

\frac{d}{d x} (\frac{2 x ^{3}}{x ^{2} - 3})

x \to 0 lim (\frac{cot ( 2 x )}{csc ( x )})

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