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

The derivative of 2/3 x^2 is (4x)/3

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

The first derivative of 2/3 x^2 is (4x)/3

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

\frac{4 x}{3}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

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

= \frac{4 x}{3}

\frac{d}{d x} (\frac{c ^{6} - x ^{6}}{c ^{6} + x ^{6}})

n = 1 \sum \infty (\frac{1}{n + 1})^{2}

\int_{0}^{3} (2 x - x^{2})^{5} (1 - x) d x

\frac{d}{d x} (cos (x + 2 y))

\int_{0}^{2} π (x^{3} - 8)^{2} d x

What is the derivative of 2/3 x^2 ?
The derivative of 2/3 x^2 is (4x)/3
What is the first derivative of 2/3 x^2 ?
The first derivative of 2/3 x^2 is (4x)/3