How do you find the equations for the normal line to #x^2+y^2=9# through (0,3)?
3 Answers
Explanation:
We find the derivative.
We now determine the slope of the tangent.
The normal line is perpendicular to the tangent, so the slope of the normal line will be
Hence, the normal line will be vertical at
Since the point of intersection is
Hopefully this helps!
Here is a solution using geometry.
Explanation:
The point
The line segment joining
So the
Here is a solution using calculus, but without implicit differentiation.
Explanation:
The point
Differentiate using the chain rule to get
At
The vertical line through