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

The derivative of x^{(2/3}) is 2/(3x^{1/3)}

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

The first derivative of x^{(2/3}) is 2/(3x^{1/3)}

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

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

Solution steps

\frac{d}{d 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}}}

\frac{d y}{d x} = 6 x e^{y}

C (x) = - 9 x^{2} + 500 x + 110

\int_{1}^{4} 3 x ln (x) d x

\frac{d}{d x} (\frac{( x - 1 ) ^{4}}{( x ^{2} + 2 x ) ^{5}})

\frac{d}{d y} (e^{x} (x - y)^{2})

What is the derivative of x^{(2/3}) ?
The derivative of x^{(2/3}) is 2/(3x^{1/3)}
What is the first derivative of x^{(2/3}) ?
The first derivative of x^{(2/3}) is 2/(3x^{1/3)}