Question

Find the coordinates of the two points on the curve where the line tangent to the curve is vertical.
x^2 + 2x + y^4 + 4y = 5 and dy/dx = (-(x=1))/(2(y^3 +1)) Thanks!

Answer 1

I just want a hint. Thanks.

Answer 2

What do you mean by (-(x=1))/(2(y^3 +1))

Answer 3

that's the slope of the tangent line

Answer 4

I mean the equal sign next to the x, is that supposed to be there?

Answer 5

oh sorry! i meant a plus sign there.

Answer 6

Ok so the clue is in the question, if it is a tangent vertical line, what would it's gradient be? (If it was horizontal it would be 0)

Answer 7

zero? and when you refer to gradient, are you talking about the slope/derivative?