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

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

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

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

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

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

Solution steps

\frac{d}{d 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}}}

f (x) = 10 x^{2} - 56 x + 104

\frac{d}{d x} (- \frac{1}{y - x})

\int \frac{x ^{2}}{( x + 2 ) ^{2} ( x + 4 ) ^{2}} d x

\int \frac{2 x}{x ^{2} - 2} d x

\frac{d}{d x} (22 cos (x))

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