What is the first derivative of x 2/3 ?

The first derivative of x 2/3 is 2/3

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derivative of x 2/3

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

\frac{2}{3}

Solution steps

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

Take the constant out:

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

= \frac{2}{3} \frac{d x}{d x}

Apply the common derivative:

\frac{d x}{d x} = 1

= \frac{2}{3} \cdot 1

Simplify

= \frac{2}{3}

\int \frac{1}{x 4 x ^{2} - 9} d x

x \to 0 lim (\frac{e ^{x} - 1}{x ^{5}})

\frac{\partial}{\partial x} (ln (x^{2} + y^{2} + 1))

\frac{\partial}{\partial y} (ln (x + z))

y = 2 x - 4