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Evaluate: y' =(\sqrt[3]{x^4}-4x^2)/x
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Number Theory
Evaluate: y' =(\sqrt[3]{x^4}-4x^2)/x
Blog
Topics
Algebra
Calculus
Geometry
Number Theory
Probability
Statistics
Trigonometry
Expression: $y\prime =\frac{\sqrt[3]{x^{4}}-4x^{2}}{x}$
If{\quad $}f^{\prime}(x)=g(x)${\quad $then{\quad}}f(x)=\int{g(x)}dx$
$y=\int \frac{\sqrt[3]{x^{4}}-4x^{2}}{x}dx$
$\int \frac{\sqrt[3]{x^{4}}-4x^{2}}{x}dx=\frac{3}{4}x^{\frac{4}{3}}-2x^{2}+c_{1}$
$=\frac{3}{4}x^{\frac{4}{3}}-2x^{2}+c_{1}$
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