Question

when tangent is parallel to x axis

Answer 1

this occurs when slope is zero....when slope of tangent is zero there is a local min/max

Answer 2

thanks for reply. and when it will be parallel to y-axis?

Answer 3

divide by 0 error, vertical asymptote

Answer 4

tan is never truly parallel to y

Answer 5

ok. i have this question that x^2 + xy + y^2=7 and i have to find where the tangent will be parallel to x and y axis's.

Answer 6

dotted lines represent asymptotes where y goes to infinity but never touches the asymptote.