for the implicit integration I got:

the vertical tangent would at points at which y' goes to infinity.
that happen when the right-hand side has singularities, that is, the denominator is 0:

so the two points y above have a vertical tangent.
Answer:
It has two terms.
Step-by-step explanation:
Answer:
The eight represents a tenth/ten
Step-by-step explanation:
The 2 represents a two hundred, the 8 a eight tenth/eighty and the 1 a one
Answer:
The correct answer is choice D.
Step-by-step explanation:
Since the parabola opens sideways, that means the function will feature
and not
, so you can immediately rule out options B and C. Because the graph also opens right, that means the coefficient of
is positive. Using all of this information, you'll find that the correct answer is D:
.
4x^2 + 5xy - y^2 = 6
Implicitly differentiating both sides,
4(2x) + 5(x y' + y) - 2yy' = 0
where y' = dy/dx
8x + 5xy' +5y -2yy' = 0
combining y' terms
y' (5x-2y) +8x +5y = 0
y'(5x-2y) = -(8x+5y)
dy/dx = -(8x+5y)/(5x-2y)
or
dy/dx = (8x+5y)/(2y-5x)