Problem

Find the gradient of the curve \(x^2+y^2=4\) at the following three points.

A circle with equation x squared plus y squared equals 4, with 3 points marked, root 2 root 2, negative root 3 1, and a half, negative root 15 over 2

What is the derivative, \(\dfrac{dy}{dx}\), at a general point on the curve?

What is the derivative at a general point on this curve?

Can you use the same methods as above?

An ellipse with equation 9 x squared plus 16 y squared equals 144