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
1 answer
clearly they should not agree, since one point is on the bottom of the ellipse, and the other is just above it.