What is the derivative of y^{2/3} ?

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

What is the first derivative of y^{2/3} ?

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

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derivative of

y^{\frac{2}{3}}

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

Solution steps

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

Apply the Power Rule:

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

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

Simplify

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

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

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