What is the derivative of 8x^7 ?

The derivative of 8x^7 is 56x^6

What is the first derivative of 8x^7 ?

The first derivative of 8x^7 is 56x^6

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\frac{d}{d x} (8 x^{7})

56 x^{6}

Solution steps

\frac{d}{d x} (8 x^{7})

Take the constant out:

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

= 8 \frac{d}{d x} (x^{7})

Apply the Power Rule:

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

= 8 \cdot 7 x^{7 - 1}

Simplify

= 56 x^{6}

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