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

- 2 x^{2}

Solution steps

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

Simplify

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

= \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 (\frac{4}{2 x - 1}) d x

\int_{1}^{2} \frac{x ^{2} - 1}{x + 1} d x

y = x^{9 x}

\int \frac{( ln ( x ) ) ^{3}}{3 x} d x

n = 0 \sum \infty \frac{n x ^{n}}{n + 8}

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