Question

HELP Pls!

The equation of a curve is x²y + 2xy² = 5, where x≠0 and y≠0.

Find the equation of the tangent which is parallel to the y-axis.

Answer 1

find the derivative
it is parallel to the y axis where it is undefined

Answer 2

i.e. where the denominator is zero

Answer 3

uhm.. how do we know if its the denominator or numerator that is zero ? @satellite73

Answer 4

if parallel to x-axis then denominator is zero too ?

Answer 5

if it is parallel to the x axis the slope is zero, the numerator is zero
if it is parallel to the y axis, the slope is undefined, the denominator is zero

Answer 6

it is an oddly worded question since the line will look like \(x=something\)

Answer 7

thank you :)