What is the derivative of (x^n/(n!)) ?

The derivative of (x^n/(n!)) is (nx^{n-1})/(n!)

What is the first derivative of (x^n/(n!)) ?

The first derivative of (x^n/(n!)) is (nx^{n-1})/(n!)

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\frac{d}{d x} (\frac{x ^{n}}{n !})

\frac{n x ^{n - 1}}{n !}

Solution steps

\frac{d}{d x} (\frac{x ^{n}}{n !})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{1}{n !} \frac{d}{d x} (x^{n})

Apply the Power Rule:

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

= \frac{1}{n !} n x^{n - 1}

Simplify

\frac{1}{n !} n x^{n - 1} : \frac{n x ^{n - 1}}{n !}

= \frac{n x ^{n - 1}}{n !}

\int_{0}^{π} sin^{4} (2 x) d x

x \to - \infty lim (x \cdot e^{x})

\frac{d}{d y} (sin^{2} (y))

\int_{- 10}^{10} π (100 - x^{2}) d x

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

What is the derivative of (x^n/(n!)) ?
The derivative of (x^n/(n!)) is (nx^{n-1})/(n!)
What is the first derivative of (x^n/(n!)) ?
The first derivative of (x^n/(n!)) is (nx^{n-1})/(n!)