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Math Help - implicit differentiation

  1. #1
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    implicit differentiation

    umm i don't remember how to find the slope for this problem.

    use implicit differentiation to find and equation of the line tangent to the graph at the point (2,0)

    e^y + x^2 - 3y^2=5

    so i know the tangent formula is (y-y1) = m (x-x1)
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  2. #2
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    Quote Originally Posted by FinalFantasy9291 View Post
    umm i don't remember how to find the slope for this problem.

    use implicit differentiation to find and equation of the line tangent to the graph at the point (2,0)

    e^y + x^2 - 3y^2=5

    so i know the tangent formula is (y-y1) = m (x-x1)
    Well,
    you have x1 = 2 , y1 = 0 ..

    By differentiating both sides w.r.t. x, we got:

    y' e^y + 2x - 6yy' = 0

    solve for y' , then evaluate it at (2,0), i.e. when x=2 and y=0 to get the value of m ..

    then substitute x1,y1 and m the tangent line's formula ..

    Please, note that its called "tangent line's formula" not "tangent formula" ..
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  4. #4
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    thank you for that correction haha.

    so from what you gave me i got (y-0)=-4(x-2) is that correct?
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  5. #5
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    Quote Originally Posted by FinalFantasy9291 View Post
    thank you for that correction haha.

    so from what you gave me i got (y-0)=-4(x-2) is that correct?
    Let me see your work ..
    mayba you have mistakes ..
    If you got the right final answer, that does not mean you've solved the problem correctly ..
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  6. #6
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    okay so..

    y'e^y+2x-6yy' = 0

    btw is there a way i can type this out without having to use ^ so it's not as confusing for you or me?

    y'e^0+(2)-6(0)y'=0
    y' + 4= 0
    y'=-4

    so... (y-0)=-4(x-2)
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  7. #7
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    Quote Originally Posted by FinalFantasy9291 View Post
    btw is there a way i can type this out without having to use ^ so it's not as confusing for you or me?
    Yes. Use the latex.

    Quote Originally Posted by FinalFantasy9291 View Post
    o
    y'e^0+(2)-6(0)y'=0
    I think that 2 is just a typo .. Right?
    It should be 4..

    Quote Originally Posted by FinalFantasy9291 View Post
    so... (y-0)=-4(x-2)
    Correct.
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  8. #8
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    hehe. how do i use the latex?

    tyvm
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  9. #9
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    Quote Originally Posted by FinalFantasy9291 View Post
    hehe. how do i use the latex?

    tyvm
    http://www.mathhelpforum.com/math-help/latex-help/
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