What is the derivative of 6x^6 ?

The derivative of 6x^6 is 36x^5

What is the first derivative of 6x^6 ?

The first derivative of 6x^6 is 36x^5

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

36 x^{5}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= 36 x^{5}