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Thread: Implicit Differentiation

  1. #1
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    Implicit Differentiation

    Let 2x^2+3x+xy=4, and y(4)=10. Find y'(4) using implicit differentiation

    I got the derivative, y'=-(4x+y+3)/x, but when I solve for y'(4), I'm left with a "y" in the answer, and I guess that's not correct.
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  2. #2
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    Re: Implicit Differentiation

    Quote Originally Posted by JamieG View Post
    Let 2x^2+3x+xy=4, and y(4)=10. Find y'(4) using implicit differentiation

    I got the derivative, y'=-(4x+y+3)/x, but when I solve for y'(4), I'm left with a "y" in the answer, and I guess that's not correct.
    We are told that $y(4)=10$ so does $y'(4)=\dfrac{4\cdot4+y(4)+3}{4}~?$
    Thanks from JamieG
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  3. #3
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    Re: Implicit Differentiation

    That makes sense! I figured it would be something simple that I was missing.
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