What is the derivative of e^{-0.01x} ?

The derivative of e^{-0.01x} is -0.01e^{-0.01x}

What is the first derivative of e^{-0.01x} ?

The first derivative of e^{-0.01x} is -0.01e^{-0.01x}

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\frac{d}{d x} (e^{- 0.01 x})

- 0.01 e^{- 0.01 x}

Solution steps

\frac{d}{d x} (e^{- 0.01 x})

Apply the chain rule:

e^{- 0.01 x} \frac{d}{d x} (- 0.01 x)

= e^{- 0.01 x} \frac{d}{d x} (- 0.01 x)

\frac{d}{d x} (- 0.01 x) = - 0.01

= e^{- 0.01 x} (- 0.01)

Simplify

= - 0.01 e^{- 0.01 x}

n = 1 \sum \infty \frac{1}{n ^{\frac{1}{n}}}

n = 0 \sum \infty (- 1)^{n + 2} \cdot t^{2 n} \cdot (\frac{1}{n !})

\int_{- 11}^{0} \frac{1}{25 - x} d x

\int 12 t d t

2^{(5 x)}

What is the derivative of e^{-0.01x} ?
The derivative of e^{-0.01x} is -0.01e^{-0.01x}
What is the first derivative of e^{-0.01x} ?
The first derivative of e^{-0.01x} is -0.01e^{-0.01x}