What is the derivative of x^{1/8} ?

The derivative of x^{1/8} is 1/(8x^{7/8)}

What is the first derivative of x^{1/8} ?

The first derivative of x^{1/8} is 1/(8x^{7/8)}

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\frac{d}{d x} (x^{\frac{1}{8}})

\frac{1}{8 x ^{\frac{7}{8}}}

Solution steps

\frac{d}{d x} (x^{\frac{1}{8}})

Apply the Power Rule:

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

= \frac{1}{8} x^{\frac{1}{8} - 1}

Simplify

\frac{1}{8} x^{\frac{1}{8} - 1} : \frac{1}{8 x ^{\frac{7}{8}}}

= \frac{1}{8 x ^{\frac{7}{8}}}

f (x) = \frac{x}{6}

f (x) = \frac{6 x ^{2} - 1}{- 3 x + 1}, at x = 0

\int_{2}^{4} \frac{1}{16 - x ^{2}} d x

\frac{\partial}{\partial y} (e^{x^{2}})

\int 4 x^{- 5} d x

What is the derivative of x^{1/8} ?
The derivative of x^{1/8} is 1/(8x^{7/8)}
What is the first derivative of x^{1/8} ?
The first derivative of x^{1/8} is 1/(8x^{7/8)}