What is (\partial)/(\partial x)(x^{2/3}) ?

The answer to (\partial)/(\partial x)(x^{2/3}) is 2/(3x^{1/3)}

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(\partial)/(\partial x)(x^{2/3})

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

\frac{2}{3 x ^{\frac{1}{3}}}

Solution steps

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

Apply the Power Rule:

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

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

Simplify

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

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

x \to 0 + lim (e^{x} + ln (x))

\int \frac{18}{( x + 3 ) ( x ^{2} - 9 )} d x

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\frac{\partial}{\partial x} (\frac{y ^{2} - x ^{2}}{x y})

n = 1 \sum \infty \frac{4}{7 n + 2}

What is (\partial)/(\partial x)(x^{2/3}) ?
The answer to (\partial)/(\partial x)(x^{2/3}) is 2/(3x^{1/3)}