What is the derivative of (x^6/6) ?

The derivative of (x^6/6) is x^5

What is the first derivative of (x^6/6) ?

The first derivative of (x^6/6) is x^5

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\frac{d}{d x} (\frac{x ^{6}}{6})

x^{5}

Solution steps

\frac{d}{d x} (\frac{x ^{6}}{6})

Take the constant out:

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

= \frac{1}{6} \frac{d}{d x} (x^{6})

Apply the Power Rule:

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

= \frac{1}{6} \cdot 6 x^{6 - 1}

Simplify

\frac{1}{6} \cdot 6 x^{6 - 1} : x^{5}

= x^{5}

What is the derivative of (x^6/6) ?
The derivative of (x^6/6) is x^5
What is the first derivative of (x^6/6) ?
The first derivative of (x^6/6) is x^5