# Step-by-step Solution

## Find the derivative $\frac{d}{dx}\left(x^{\frac{1}{4}}\right)$ using the power rule

Go!
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### Videos

$\frac{\frac{1}{4}}{\sqrt[4]{x^{3}}}$

## Step-by-step explanation

Problem to solve:

$\frac{d}{dx}\left(x^{\frac{1}{4}}\right)$

Choose the solving method

1

The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$

$\frac{1}{4}x^{-\frac{3}{4}}$
2

Applying the property of exponents, $\displaystyle a^{-n}=\frac{1}{a^n}$, where $n$ is a number

$\frac{\frac{1}{4}}{\sqrt[4]{x^{3}}}$

$\frac{\frac{1}{4}}{\sqrt[4]{x^{3}}}$
$\frac{d}{dx}\left(x^{\frac{1}{4}}\right)$

Power rule

### Time to solve it:

~ 0.03 s (SnapXam)