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

The derivative of 2/3 x^3 is 2x^2

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

The first derivative of 2/3 x^3 is 2x^2

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derivative of

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

2 x^{2}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

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

= 2 x^{2}

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