henshelkasonde18
henshelkasonde18 henshelkasonde18
  • 06-01-2022
  • Mathematics
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differentiate 3x-5/x²-4x​

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LammettHash
LammettHash LammettHash
  • 06-01-2022

I assume you mean (3x - 5)/(x² - 4x).

Using the quotient rule, the derivative would be

((x² - 4x) • 3 - (3x - 5) • (2x - 4)) / (x² - 4x)²

= (3x² - 12x - 6x² + 22x - 20) / (x² - 4x)²

= - (3x² - 10x + 20) / (x² - 4x)²

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