What is the derivative of f(x)=x^{1/5} ?

The derivative of f(x)=x^{1/5} is 1/(5x^{4/5)}

What is the first derivative of f(x)=x^{1/5} ?

The first derivative of f(x)=x^{1/5} is 1/(5x^{4/5)}

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derivative of

f (x) = x^{\frac{1}{5}}

\frac{1}{5 x ^{\frac{4}{5}}}

Solution steps

\frac{d}{d x} (x^{\frac{1}{5}})

Apply the Power Rule:

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

= \frac{1}{5} x^{\frac{1}{5} - 1}

Simplify

\frac{1}{5} x^{\frac{1}{5} - 1} : \frac{1}{5 x ^{\frac{4}{5}}}

= \frac{1}{5 x ^{\frac{4}{5}}}

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

(\frac{d y}{d x}) = (\frac{( x - y ^{2} )}{( 2 x y + y )})

\int \frac{x - arctan ( x )}{1 + x ^{2}} d x

x \to 2 - lim (8 x - x^{4})

\int \frac{e ^{\frac{- 1}{x}}}{x ^{2}} d x

What is the derivative of f(x)=x^{1/5} ?
The derivative of f(x)=x^{1/5} is 1/(5x^{4/5)}
What is the first derivative of f(x)=x^{1/5} ?
The first derivative of f(x)=x^{1/5} is 1/(5x^{4/5)}