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Math Help - differentiation

  1. #1
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    differentiation

    Given that y = (1+tanx)/(1+2tanx)

    find dy/dx


    ok do i just differentiate (1+tanx)/(1+2tanx)?

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  2. #2
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    Use the quotient rule for differentiation.

     \frac{d}{dx}(\frac{u}{v}) = \frac{u'v - v'u}{v^2}
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  3. #3
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    Quote Originally Posted by djmccabie View Post
    Given that y = (1+tanx)/(1+2tanx)

    find dy/dx


    ok do i just differentiate (1+tanx)/(1+2tanx)?

    Yes, you are given that y= (1+ tanx)/(1+ 2tanx) and are asked to differentiate y: differentiate (1+ tan x)/(1+ 2 tan x).

    And use the quotient rule as bobby said.
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  4. #4
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    That is what i initially attempted and got

    -sec˛x/(1-2tanx)˛

    is this right?
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  5. #5
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    Quote Originally Posted by djmccabie View Post
    That is what i initially attempted and got

    -sec˛x/(1-2tanx)˛

    is this right?
    denominator should be (1 + 2\tan{x})^2
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  6. #6
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    typo thanks
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