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Mathematics 12 Online
OpenStudy (anonymous):

At which points is the tangent line to the curve 8x^2 +2y^2=6xy+ 14 vertical?

OpenStudy (mertsj):

When the first derivative is undefined.

OpenStudy (anonymous):

oh so differentiate and set =to 0?

OpenStudy (anonymous):

i use implicit differentioan right?

OpenStudy (mertsj):

Differentiate, solve for y' and see what value of x makes the denominator undefined.

OpenStudy (anonymous):

differentiated and got dy/dx=(6xy-16x)/4xy-4x is that right?

OpenStudy (mertsj):

Wolf says: \[y'=\frac{8x-3y}{3x-2y}\]

OpenStudy (anonymous):

ooh wolfram thing is that free?

OpenStudy (mertsj):

Yes. There is a free one and you can get calculus ones for 3 or 4 bucks.

OpenStudy (mertsj):

www.wolframalpha.com

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