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6-47.

Sketch a graph of . Predict the slopes of the tangent lines at . Then, confirm this algebraically by differentiating. (Hint: Solve for 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.

Note: Before differentiating, solve for .