What is (\partial)/(\partial x)(x^{1/3}) ?

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

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(\partial)/(\partial x)(x^{1/3})

\frac{\partial}{\partial x} (x^{\frac{1}{3}})

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

Solution steps

\frac{\partial}{\partial x} (x^{\frac{1}{3}})

Apply the Power Rule:

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

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

Simplify

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

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

n = 1 \sum \infty (- 1)^{n + 1} n

\frac{d}{d x} (x + 1 + 1)

f (x) = \frac{5 x}{x ^{2} + 1}, at x = 0

\frac{d y}{d θ} = sin^{4} (π θ)

\frac{d}{d x} (e^{x} + \frac{1}{e ^{x}})

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