What is the derivative of e^{-x/4} ?

The derivative of e^{-x/4} is -1/4 e^{-x/4}

What is the first derivative of e^{-x/4} ?

The first derivative of e^{-x/4} is -1/4 e^{-x/4}

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\frac{d}{d x} (e^{- \frac{x}{4}})

- \frac{1}{4} e^{- \frac{x}{4}}

Solution steps

\frac{d}{d x} (e^{- \frac{x}{4}})

Apply the chain rule:

e^{- \frac{x}{4}} \frac{d}{d x} (- \frac{x}{4})

= e^{- \frac{x}{4}} \frac{d}{d x} (- \frac{x}{4})

\frac{d}{d x} (- \frac{x}{4}) = - \frac{1}{4}

= e^{- \frac{x}{4}} (- \frac{1}{4})

Simplify

= - \frac{1}{4} e^{- \frac{x}{4}}

\int \frac{( x ^{2} )}{49 - x ^{2}} d x

y^{^{''}} - 9 y = 2 t^{2} + 3 t + 9

\frac{d}{d x} (3 x^{2} + e^{2 x} + π^{2})

n = 1 \sum \infty \frac{n}{6 n ^{2} - 5}

x \to + 4 - lim (\frac{2 x}{16 - x ^{2}})

What is the derivative of e^{-x/4} ?
The derivative of e^{-x/4} is -1/4 e^{-x/4}
What is the first derivative of e^{-x/4} ?
The first derivative of e^{-x/4} is -1/4 e^{-x/4}