Question

The equation x^2+4y^2=100 describes an ellipse.

First, use implicit differentiation to find its slope at the points (8,3) and (8, -3).

Then, solve the equation for y, obtaining two functions and differentiate both to find the slopes at x = 8.

Do your answers agree? Should they agree? Why or why not?

Explain your reasoning

Answer 1

I want to see what you did, so I can check your answer, and see where your difficulties lie. This is a "I must know how to do this" kind of question.