Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
If the first derivative of a function equals zero when x=c, what do we know? Pick the right answer. No explanation is required.

Transcribed Image Text:### Calculus Concepts: Identifying Critical Points
This section explores scenarios in which critical points occur in calculus, focusing on local maxima, minima, and tangent lines.
a) A local maximum exists when \( x = c \).
b) A local minimum exists when \( x = c \).
c) Either a or b.
d) A horizontal tangent line exists at \( x = c \).
e) Frogs are Purple.
Note: Options (a) through (d) relate to calculus and critical points, while option (e) is unrelated to this context. Consider this when evaluating the mathematical options above.
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