I need to check my work. It is from a "fake" AP Calculus AB 2008 exam.
The line normal to 3x^2+4y+y^2=3
at x = m is parallel to the y-axis. What is m? the choices for the answers are
a. 3
b. -2
c. 0
d. -3
e. 2
I used implicit differentiation to get a derivative of
dy/dx = (-6x)/(4+2y)
Won't the slope of the normal line be the neg. recip of this derivative function?
This means
(4+2y)/(6x)
To be parallel to the y-axis, the slope is undefined so 6x = 0 and x = 0.
This means choice c is correct?

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Agreed. Looks correct.

Okay, and yeah. I went ahead and checked your implicit differentiation too. That checks out.

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