Math Is Fun Forum

mathland

Member

Registered: 2021-03-25

Posts: 444

Implicitly Defined Equation

For the implicitly defined equation:

(a) Find the slope of the tangent line to the graph of the
equation at the indicated point.
(b) Write an equation for this tangent line.
(c) Graph the tangent line on the same axes as the graph
of the equation.

(x − 3)^2 + (y + 4)^2 = 25 @ (0,0)

For part (a), I must take the derivative implicitly and then evaluate at x = 0 and y = 0.
Correct?

For part (b), I must use the slope m and the indicated point to substitute into the point-slope formula. Correct?

For part (c), I must graph the given equation and the line found in part (b) on the same xy-plane. Yes?

Last edited by mathland (2021-05-10 14:11:02)

Bob

Administrator

Registered: 2010-06-20

Posts: 10,143

Re: Implicitly Defined Equation

Yes.  Go ahead.

Bob

---

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

mathland

Member

Registered: 2021-03-25

Posts: 444

Re: Implicitly Defined Equation

Yes.  Go ahead.

Bob

Very good. Very cool.