AlineG41944 AlineG41944
  • 25-10-2022
  • Mathematics
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can I use the product rule on the denominator to plug into the quotient rule to find t derivative?

can I use the product rule on the denominator to plug into the quotient rule to find t derivative class=
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LadarriusF457111 LadarriusF457111
  • 25-10-2022
[tex]\frac{t^2}{(t-4)(2-t^3)}^{}=t^2(t-4)^{-1}(2-t^3)^{-1}[/tex][tex]z^{\prime}=2t(t-4)^{-1}(2-t^3)^{-1}+t^2(-1)(t-4)^{-2}(1)(2-t^3)^{-1}+t^2(t-4)^{-1}(-1)(2-t^3)^{-2}(-3t^2)[/tex]

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