What is the derivative of (x^7/7) ?

The derivative of (x^7/7) is x^6

What is the first derivative of (x^7/7) ?

The first derivative of (x^7/7) is x^6

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\frac{d}{d x} (\frac{x ^{7}}{7})

x^{6}

Solution steps

\frac{d}{d x} (\frac{x ^{7}}{7})

Take the constant out:

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

= \frac{1}{7} \frac{d}{d x} (x^{7})

Apply the Power Rule:

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

= \frac{1}{7} \cdot 7 x^{7 - 1}

Simplify

\frac{1}{7} \cdot 7 x^{7 - 1} : x^{6}

= x^{6}

What is the derivative of (x^7/7) ?
The derivative of (x^7/7) is x^6
What is the first derivative of (x^7/7) ?
The first derivative of (x^7/7) is x^6