What is the derivative of e^{x/6} ?

The derivative of e^{x/6} is e^{x/6} 1/6

What is the first derivative of e^{x/6} ?

The first derivative of e^{x/6} is e^{x/6} 1/6

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\frac{d}{d x} (e^{\frac{x}{6}})

e^{\frac{x}{6}} \frac{1}{6}

Solution steps

\frac{d}{d x} (e^{\frac{x}{6}})

Apply the chain rule:

e^{\frac{x}{6}} \frac{d}{d x} (\frac{x}{6})

= e^{\frac{x}{6}} \frac{d}{d x} (\frac{x}{6})

\frac{d}{d x} (\frac{x}{6}) = \frac{1}{6}

= e^{\frac{x}{6}} \frac{1}{6}

\int \frac{1}{1 + e ^{- t}} d t

\int \frac{x ^{2}}{x ^{2} + 81} d x

\frac{y ^{^{'}} - e ^{- t} + 5}{y} = - 5, y (0) = - 4

(5, - 1), (- 3, 4)

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

What is the derivative of e^{x/6} ?
The derivative of e^{x/6} is e^{x/6} 1/6
What is the first derivative of e^{x/6} ?
The first derivative of e^{x/6} is e^{x/6} 1/6