What is the derivative of 2/3 x^6 ?

The derivative of 2/3 x^6 is 4x^5

What is the first derivative of 2/3 x^6 ?

The first derivative of 2/3 x^6 is 4x^5

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derivative of

\frac{2}{3} x^{6}

4 x^{5}

Solution steps

\frac{d}{d x} (\frac{2}{3} x^{6})

Take the constant out:

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

= \frac{2}{3} \frac{d}{d x} (x^{6})

Apply the Power Rule:

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

= \frac{2}{3} \cdot 6 x^{6 - 1}

Simplify

\frac{2}{3} \cdot 6 x^{6 - 1} : 4 x^{5}

= 4 x^{5}

What is the derivative of 2/3 x^6 ?
The derivative of 2/3 x^6 is 4x^5
What is the first derivative of 2/3 x^6 ?
The first derivative of 2/3 x^6 is 4x^5