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

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

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

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

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

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

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

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

\int_{1}^{2} \frac{1}{8 - 3 x} d x

sin (t)

\int 8 x^{3} + 12 x + 2 d x

\frac{d}{d x} (a r (x) c, 5 x)

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

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