### Home > CALC > Chapter 6 > Lesson 6.1.4 > Problem 6-47

6-47.

Sketch a graph of

*x*^{2}*+ y*^{2}= 4 . Predict the slope of the tangents at*x*=*y*first.) Homework Help ✎

Sketch the graph (it's a circle). Then sketch the tangents (they are horizontal). What do you predict the slope of the tangents to be?

Confirm your prediction by evaluating the derivative of the circle at *x* = 0.