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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]

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 3CC: If xis large, which function grows faster, f(x)=2x or g(x)=x2?
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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
Transcribed Image Text: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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