What is the derivative of e^{x/3} ?

The derivative of e^{x/3} is e^{x/3} 1/3

What is the first derivative of e^{x/3} ?

The first derivative of e^{x/3} is e^{x/3} 1/3

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derivative of

e^{\frac{x}{3}}

e^{\frac{x}{3}} \frac{1}{3}

Solution steps

\frac{d}{d x} (e^{\frac{x}{3}})

Apply the chain rule:

e^{\frac{x}{3}} \frac{d}{d x} (\frac{x}{3})

= e^{\frac{x}{3}} \frac{d}{d x} (\frac{x}{3})

\frac{d}{d x} (\frac{x}{3}) = \frac{1}{3}

= e^{\frac{x}{3}} \frac{1}{3}

\int \frac{sin ( 3 x )}{cos ^{2} ( 3 x )} d x

2 x^{2}, 2 x + 2

\int e^{x^{2} - x} d x

\frac{\partial}{\partial x} (arccos (\frac{x}{x ^{2} + y ^{2}}))

\frac{d}{d x} (5 x + \frac{400}{x})

What is the derivative of e^{x/3} ?
The derivative of e^{x/3} is e^{x/3} 1/3
What is the first derivative of e^{x/3} ?
The first derivative of e^{x/3} is e^{x/3} 1/3