What is the derivative of 1/e e^x ?

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

What is the first derivative of 1/e e^x ?

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

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\frac{d}{d x} (\frac{1}{e} e^{x})

e^{x - 1}

Solution steps

\frac{d}{d x} (\frac{1}{e} e^{x})

Simplify

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

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

Apply the chain rule:

e^{x - 1} \frac{d}{d x} (x - 1)

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

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

= e^{x - 1} \cdot 1

Simplify

= e^{x - 1}

\frac{1}{x} + \frac{1}{x - 1} + \frac{1}{x - 2}

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

n = 1 \sum \infty 15 (\frac{1}{100})^{n}

\frac{d}{d x} (\frac{x ^{2}}{2} + \frac{1}{x})

x (x^{5} + 2)

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