What is the derivative of e^{-x/(100}) ?

The derivative of e^{-x/(100}) is -1/100 e^{-x/(100)}

What is the first derivative of e^{-x/(100}) ?

The first derivative of e^{-x/(100}) is -1/100 e^{-x/(100)}

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\frac{d}{d x} (e^{- \frac{x}{100}})

- \frac{1}{100} e^{- \frac{x}{100}}

Solution steps

\frac{d}{d x} (e^{- \frac{x}{100}})

Apply the chain rule:

e^{- \frac{x}{100}} \frac{d}{d x} (- \frac{x}{100})

= e^{- \frac{x}{100}} \frac{d}{d x} (- \frac{x}{100})

\frac{d}{d x} (- \frac{x}{100}) = - \frac{1}{100}

= e^{- \frac{x}{100}} (- \frac{1}{100})

Simplify

= - \frac{1}{100} e^{- \frac{x}{100}}

\int \frac{2 x - 1}{2 x + 3} d x

x \to 0 - lim (x e^{\frac{1}{x}})

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

\frac{2 s + 4}{( s + 1 ) ( s ^{2} + 4 )}

\frac{d y}{d x} = 3 x^{2} y^{2}

What is the derivative of e^{-x/(100}) ?
The derivative of e^{-x/(100}) is -1/100 e^{-x/(100)}
What is the first derivative of e^{-x/(100}) ?
The first derivative of e^{-x/(100}) is -1/100 e^{-x/(100)}