tangent lines

[Guest]

I have a problem that involves comparing tangent lines to one another.

Show that the tangents to the curves y^2=4x^3 and 2x^2+3y^2=14, at (1,2) are perpindicular to each other.

So you would first find the tangent lines correct?

So I found the first one to be y=3x+1- is that right?
And the second to be y=-1/3 x-5/3 - is this one correct?

How are you to show that they are perpindicular to one another?

 

[ChaoticLlama]

Well, I'm assuming that the differentiation that you did is correct (which it should be given your results)

Two slopes are perpendicular if Slope1 = -1/Slope2

Look at your slopes and see if they fit this relationship.

 

[Unco]

I have a problem that involves comparing tangent lines to one another.

Show that the tangents to the curves y^2=4x^3 and 2x^2+3y^2=14, at (1,2) are perpindicular to each other.

So you would first find the tangent lines correct?

So I found the first one to be y=3x+1- is that right?
And the second to be y=-1/3 x-5/3 - is this one correct?

How are you to show that they are perpindicular to one another?

Your equations are off but your slopes are right, which is the important thing here.