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Math Help - Ack - Simple Question (y')

  1. #1
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    Ack - Simple Question (y')

    I just have a real quick simple question..

    I'm doing Implicit Differentiation, and I've had a mind slip.

    What's the derivative of 4yx implicitly?

    I know poroduct rule = 4y(1) + x(I forgot the derivative of 4y!)

    So basically...what's the derivative of 4y?
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  2. #2
    Math Engineering Student
    Krizalid's Avatar
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    Quote Originally Posted by Super Mallow View Post
    I
    What's the derivative of 4yx implicitly?
    That depends.

    If you desire to compute y', then apply the product rule and apply the chain rule for y. Otherwise, if you desire to compute x' then apply the product rule and apply the chain rule for x.
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  3. #3
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    Quote Originally Posted by Super Mallow View Post
    I just have a real quick simple question..

    I'm doing Implicit Differentiation, and I've had a mind slip.

    What's the derivative of 4yx implicitly?

    I know poroduct rule = 4y(1) + x(I forgot the derivative of 4y!)

    So basically...what's the derivative of 4y?
    Differentiating with respect to x?

    d/dx 4yx = 4[y*1(dx/dx) +x*1(dy/dx)] = 4[y(1) +x(dy/dx)] = 4y +4x(dy/dx)
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  4. #4
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    Thanks for the help...I ended up getting it
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