What is the derivative of (x^5/(5!)) ?

The derivative of (x^5/(5!)) is (x^4)/(24)

What is the first derivative of (x^5/(5!)) ?

The first derivative of (x^5/(5!)) is (x^4)/(24)

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\frac{d}{d x} (\frac{x ^{5}}{5 !})

\frac{x ^{4}}{24}

Solution steps

\frac{d}{d x} (\frac{x ^{5}}{5 !})

Take the constant out:

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

= \frac{1}{5 !} \frac{d}{d x} (x^{5})

Apply the Power Rule:

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

= \frac{1}{5 !} \cdot 5 x^{5 - 1}

Simplify

\frac{1}{5 !} \cdot 5 x^{5 - 1} : \frac{x ^{4}}{24}

= \frac{x ^{4}}{24}

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

n = 1 \sum \infty \frac{4 ^{n}}{4 ^{n}}

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

\int - x + tan (x) d x

y = sin (x) - cos (x)

What is the derivative of (x^5/(5!)) ?
The derivative of (x^5/(5!)) is (x^4)/(24)
What is the first derivative of (x^5/(5!)) ?
The first derivative of (x^5/(5!)) is (x^4)/(24)