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The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$
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$4\left(\sqrt[4]{x}+\sqrt[4]{x^{3}}\right)^{3}\frac{d}{dx}\left(\sqrt[4]{x}+\sqrt[4]{x^{3}}\right)$
Learn how to solve problems step by step online. Find the derivative of (x^1/4+x^3/4)^4. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number.