What is the derivative of x^{1/4} ?

The derivative of x^{1/4} is 1/(4x^{3/4)}

What is the first derivative of x^{1/4} ?

The first derivative of x^{1/4} is 1/(4x^{3/4)}

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derivative of

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

\frac{1}{4 x ^{\frac{3}{4}}}

Solution steps

\frac{d}{d x} (x^{\frac{1}{4}})

Apply the Power Rule:

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

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

Simplify

\frac{1}{4} x^{\frac{1}{4} - 1} : \frac{1}{4 x ^{\frac{3}{4}}}

= \frac{1}{4 x ^{\frac{3}{4}}}

f (x) = \frac{2 x + 2}{x + 7}

t cos (t)

x \to 1 lim (\frac{x}{( x ^{3} - 1 )})

\frac{d}{d x} (64 e^{- 4 x})

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

What is the derivative of x^{1/4} ?
The derivative of x^{1/4} is 1/(4x^{3/4)}
What is the first derivative of x^{1/4} ?
The first derivative of x^{1/4} is 1/(4x^{3/4)}