Mark each statement as true or false. a.) If a function is differentiable at x=3, it must be continuous at x=3. False b.) A positive derivative means that the function is decreasing. [Select] c.) If f(x) is a function, then f'(a) finds the slope of the tangent line at x=a. [Select]

Mark each statement as true or false. a.) If a function is differentiable at x=3, it must be continuous at x=3. False b.) A positive derivative means that the function is decreasing. [Select] c.) If f(x) is a function, then f'(a) finds the slope of the tangent line at x=a. [Select]

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

please explain how the first two parts of the problem were wrong and what the correct answer was so i can better understand. I got the third part correct but not the first two.

You Answered
Correct Answer
Correct Answer
You Answered
Correct!
Mark each statement as true or false.
a.) If a function is differentiable at x=3, it must be continuous at x=3. False
b.) A positive derivative means that the function is decreasing.
[Select]
c.) If f(x) is a function, then f'(a) finds the slope of the tangent line at x=a.
[Select]
Answer 1:
False
True
Answer 2:
False
True
Answer 3:
True

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