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Math Help - find derivative

  1. #1
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    find derivative

    find the derivative dy/dx

    a) y=(x+1)/(x-1)

    y'=1(x-1)^-1
    ...??

    b) y=3/(x+2)

    y'=3(x+2)^-1
    ...?

    c) y=sqrt(3x+2)
    y'=(3x+2)^(0.5)
    ..?
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  2. #2
    Senior Member Danneedshelp's Avatar
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    Quote Originally Posted by skeske1234 View Post
    find the derivative dy/dx

    a) y=(x+1)/(x-1)

    y'=1(x-1)^-1
    ...??

    b) y=3/(x+2)

    y'=3(x+2)^-1
    ...?

    c) y=sqrt(3x+2)
    y'=(3x+2)^(0.5)
    ..?
    a)quotient rule
    b)quotient rule
    c)chain rule
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  3. #3
    MHF Contributor
    skeeter's Avatar
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    Quote Originally Posted by skeske1234 View Post
    find the derivative dy/dx

    a) y=(x+1)/(x-1)

    y'=1(x-1)^-1
    ...??

    use the quotient rule

    b) y=3/(x+2)

    y'=3(x+2)^-1
    ...?

    correction ... \textcolor{red}{y = 3(x+2)^{-1}} , it's not y' yet ... you still need to use the power rule and take the derivative.

    c) y=sqrt(3x+2)
    y'=(3x+2)^(0.5)
    ...?

    no ... \textcolor{red}{y = (3x+2)^{\frac{1}{2}}} , it's not y' yet ... use the chain rule.
    ...
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