mathematics help: can sum1 pls help me with a math problem? - Help.com



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can sum1 pls help me with a math problem?

if 3x^(2)+ 2xy + y^2= 2, then the value of dy/dx at x=1 is what?

thank you

This open post was written 1 year, 10 months ago | V/U/S: 142, 2, 2 | Edit Post | Leave a reply | Report Post


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icefreeze2200 offline Unverified User #
Nashville, TN, US | 1 year, 10 months ago (19 minutes after post)

Okay, this is trickier then most calculus that you’ve seen because the equation isn’t set to y. You need to differentiate the equation as you would a normal function(remember the product rule and so forth.) You’ll get
6x + 2x(dy/dx) + 2y + 2y(dy/dx)=0

The key is to remember that dy/dx is like any other variable.

Then you manipulate it so…2x(dy/dy)+2y(dy/dx)=-6x -2y

Solving yields (dy/dx)=(-6x-2y)/(2x+2y)
This means that you can solve for dy/dx at any point as long as you know what y is. Since you have the original equation, you do. When x=1, y=-1 so I believe the derivative is undefined at x=1.

Does this help?

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Anonymous #
1 year, 10 months ago (20 minutes after post)

yes it does help
thanks a lot

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