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Math Help - derivatives...help

  1. #1
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    derivatives...help

    g(x) = sin2(2x) - x

    w(t) = sin(e^t) + esin(t).

    y(x) = tan(x^2)

    can someone help me get started with these...thanks...
    Last edited by mathaction; October 3rd 2007 at 06:23 PM.
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by mathaction View Post
    g(x) = sin2(2x) - x

    w(t) = sin(et) + esin(t).

    y(x) = tan(x2)

    can someone help me get started with these...thanks...
    The derivative of sin(x) is cos(x). Use the chain rule.

    -Dan
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  3. #3
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by mathaction View Post
    y(x) = tan(x^2)
    and the derivative of \tan x is \sec^2 x. you also need the chain rule here
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  4. #4
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    can you show me how to do it...i dont get it
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  5. #5
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by mathaction View Post
    can you show me how to do it...i dont get it
    You should know the derivative of the sine function. This is basic.

    The derivative of the tangent function:
    [tex]\frac{d}{dx}tan(x) = \frac{d}{dx}\frac{sin(x)}{cos(x)}

    Now use the quotient rule.

    -Dan
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