PaulinoI686951 PaulinoI686951
  • 03-11-2022
  • Mathematics
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Question 20 3 pts Find the derivative. 9 4 y = 36 4 dy dx O 23 + - 4x

Question 20 3 pts Find the derivative 9 4 y 36 4 dy dx O 23 4x class=

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IndianaO638053 IndianaO638053
  • 03-11-2022

we have the following:

[tex]y=\frac{9}{x^4}-\frac{4}{x}[/tex]

derivate:

[tex]\begin{gathered} y^{\prime}=9\frac{d}{dx}(\frac{1}{x^4})-4\frac{d}{dx}(\frac{1}{x}) \\ y^{\prime}=9\cdot(\frac{-6}{x^5})-4(\frac{-1}{x^2}) \\ y^{\prime}=-\frac{36}{x^5}+\frac{4}{x^2} \end{gathered}[/tex]

therefore, the correct answer is first option

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