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Math Help - Calculus questions...derivatives!

  1. #1
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    Exclamation Calculus questions...derivatives!

    So I am doing a few problems for Calculus AB and got stuck on some of the following. I would appreciate it if you could help me and explain how to get the answer. Thanks!

    Find dy/dx of the following:
    1. y=(2√x)-(1/2√x)

    2. y=x/(√1-x^2)

    3. y=1/(2sin2x)

    4. y=sec^2√x

    5. x+cos(x+y)=0
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  2. #2
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    Quote Originally Posted by briana22 View Post
    So I am doing a few problems for Calculus AB and got stuck on some of the following. I would appreciate it if you could help me and explain how to get the answer. Thanks!

    Find dy/dx of the following:
    1. y=(2√x)-(1/2√x)

    2. y=x/(√1-x^2)

    3. y=1/(2sin2x)

    4. y=sec^2√x

    5. x+cos(x+y)=0
    1. Use the difference rule to find y'.
    2. You can use the quotient rule, because the function is of the form f/g with f=x, g=\sqrt{1-x^2}.
    3. It's a situation where (\frac{1}{g})' = - \frac{g'}{g^2}
    4. Use the product rule.
    5. You can use the implicit differentiation.
    Last edited by Roam; January 1st 2010 at 12:36 PM.
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