An Introduction to Curve Sketching (8.1.1)

Question 1

• Applications of the derivative include motion problems, linear approximations, optimization, related rates, and curve sketching.

Answer 1

• Applications of the derivative include motion problems, linear approximations, optimization, related rates, and curve sketching.

Question 2

• The techniques used in algebra for graphing functions do not demonstrate subtle behaviors of curves. You can use the derivative to describe the curvature of a graph more accurately.

Answer 2

• The techniques used in algebra for graphing functions do not demonstrate subtle behaviors of curves. You can use the derivative to describe the curvature of a graph more accurately.