Stage 36 · Limits, Derivatives & Their Applications

36.5.6 Sketching the Graph of a Function

36.5 The Derivative as a Spotlight: Studying How Functions Behave

Point 6 of 6

36.5.6 Sketching the Graph of a Function

Core idea

Combine the rises, the falls, and the extrema, then connect the dots to trace the curve's true path.

Module goal. Read a function's rise and fall from the sign of its derivative, pin down its peaks, valleys, and extremes, and see the shape of a curve at a glance.
eastmath.com · 36.5 The Derivative as a Spotlight: Studying How Functions Behave · 36.5.6 Sketching the Graph of a Function