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Math Help - Differentiation of y

  1. #1
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    Differentiation of y

    I'm on to the next section of my book and i'm trying to figure out these from the HW, can't get any of the answers listed.

    1) √(x(x-7))

    A) √(x(x-7)(2x-7))
    B) [(lnx+lnx(x-7))/2]
    C) (1/2)((1/x) + 1/(x-7))
    D) (√(x(x-7))/2)(1/x + 1/(x-7))

    2) y=√(x/(x-5))

    A) (1/2)(lnx-ln(x-5))
    B) (1/2)√(X/(x-5))(1/x - 1/x(x-5))
    C) (1/2)(1/x - 1/(x-5))
    D) -5/2√(x/(x-5))

    3) y=xsinx/√(x+2)


    Thanks for any help!
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  2. #2
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    1. y=\sqrt{x(x-7)}

    y=[x(x-7)]^{0.5}

    Now expand and use the chain rule to differentiate it.

    2. is similar.

    3. Is it y=\dfrac{x \sin x}{\sqrt{x+2}}
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  3. #3
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    yeah that's correct for the third one.
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  4. #4
    Senior Member Educated's Avatar
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    1. and 2.

    I have told you what to do for these first 2. Can you show me what you did?

    And you do not need to use logarithms to solve it. Just differentiate it as normal using the chain and power rule.



    Number 3 is more complex so we'll do that later
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