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

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

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

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

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derivative of

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

2 x^{2}

Solution steps

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

\int_{1}^{3} (x^{2} + 2 x - 5) d x

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

x \to 0 lim (6 x^{2} (cot (3 x)) (csc (2 x)))

\int_{0}^{1} (x - x^{2})^{2} d x

\int \frac{x - 1}{x ^{2} - 4 x + 3} d x

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