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Simplify the expression $\sqrt[4]{x}-1$

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Solution

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Derivative

$\frac{d}{dx}\left(\sqrt[4]{x}-1\right)=\frac{1}{4\sqrt[4]{x^{3}}}$ See full solution

Integral

$\int\left(\sqrt[4]{x}-1\right)dx=\frac{4}{5}\sqrt[4]{x^{5}}-x+C_0$ See full solution

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Main Topic: Simplification of algebraic expressions

The simplification of algebraic expressions consists in rewriting a long and complex expression in an equivalent, but much simpler expression. This simplification can be accomplished through the combined use of arithmetic and algebra rules.

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