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

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

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

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

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

x^{4}

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} : x^{4}

= x^{4}

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