zolowski zolowski
  • 30-09-2017
  • Mathematics
contestada

Derivative of sin (x^(1/3)) + (sinx)^(1/3)

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Аноним Аноним
  • 30-09-2017
1/3 x^(-2/3) cos (x^1/3) + 1/3(sinx)^-2/3 .cos x



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jdoe0001 jdoe0001
  • 01-10-2017
[tex]\bf sin\left( x^{\frac{1}{3}} \right)+[sin(x)]^{\frac{1}{3}}\\\\ -------------------------------\\\\ cos\left( x^{\frac{1}{3}} \right)\cdot \cfrac{1}{3}x^{-\frac{2}{3}}+\cfrac{1}{3}[sin(x)]^{-\frac{2}{3}}\cdot cos(x)\impliedby \textit{chain-ruling both terms} \\\\\\ \cfrac{cos(\sqrt[3]{x})}{3\sqrt[3]{x^2}}+\cfrac{cos(x)}{3\sqrt[3]{sin^2(x)}}[/tex]
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