Step-by-step Solution

Find the derivative $\frac{d}{dx}\left(\sqrt[4]{x}\right)$ using the power rule

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Step-by-step explanation

Problem to solve:

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

Learn how to solve power rule problems step by step online.

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

Unlock this full step-by-step solution!

Learn how to solve power rule problems step by step online. Find the derivative (d/dx)(x^0.25) using the power rule. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Subtract the values \frac{1}{4} and -1. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Multiply the fraction and term.

Final Answer

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

Main topic:

Power rule

Related formulas:

1. See formulas

Time to solve it:

~ 0.02 s (SnapXam)