At the point (2, 4),
At (2, −3),
Step 3: Plugging into our equation for the tangent line, we get
y − 4 = (x − 2)
y + 3 = (x − 2)
It is not necessary to simplify these equations.
(c) Find at (0, 4).
Step 1: Once we have the first derivative, we have to differentiate again to find .
We have to use implicit differentiation again.
Use the Quotient Rule.
Simplifying, we get