if find points on curve where tangent is horizontal and vertical.
I got for horizontal tangents.
Is this correct?
Hello, shilz222!
If find points on curve where tangent is horizontal and vertical.
I got for horizontal tangents.
Is this correct? . . . . Yes!
First, we need
There is a formula for this, but we can derive it.
We know the conversion formulas: .
Then: .
. . Hence: .
Since and , we have: .
Divide top and bottom by
We have horizontal tangents when the numerator equals zero.
. .
. . Therefore: .
We have vertical tangents when the denominator equals zero.
. .
. . Therefore: .