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Simplify the derivative by applying the properties of logarithms
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$\frac{d}{dx}\left(\sqrt[5]{x^{4}}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of x^4^1/5. Simplify the derivative by applying the properties of logarithms. 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{4}{5} and -1. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number.