What is the derivative of x^{1/10} ?

The derivative of x^{1/10} is 1/(10x^{9/10)}

What is the first derivative of x^{1/10} ?

The first derivative of x^{1/10} is 1/(10x^{9/10)}

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\frac{d}{d x} (x^{\frac{1}{10}})

\frac{1}{10 x ^{\frac{9}{10}}}

Solution steps

\frac{d}{d x} (x^{\frac{1}{10}})

Apply the Power Rule:

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

= \frac{1}{10} x^{\frac{1}{10} - 1}

Simplify

\frac{1}{10} x^{\frac{1}{10} - 1} : \frac{1}{10 x ^{\frac{9}{10}}}

= \frac{1}{10 x ^{\frac{9}{10}}}

\int u^{2} cos (u) d u

\int x^{4} ln (9 x) d x

y^{^{''}} + 4 y^{^{'}} - 3 y = x

y^{^{''}} = 8 t^{2}

\int_{4}^{\infty} \frac{1}{x ^{2} - 1} d x

What is the derivative of x^{1/10} ?
The derivative of x^{1/10} is 1/(10x^{9/10)}
What is the first derivative of x^{1/10} ?
The first derivative of x^{1/10} is 1/(10x^{9/10)}