Let & be continuous in [a,b] and differentiable in (a,b). It's true that: a) f (a) = f(b) = 3 x € (a,b) such that the tangent line to the graph of at (nor f(no)) is horizontal. b) there exists - (b) c) f(a) > f (b) f is decreasing in (a,b) d) fla) 0, \₂ € (a, b)
Let & be continuous in [a,b] and differentiable in (a,b). It's true that: a) f (a) = f(b) = 3 x € (a,b) such that the tangent line to the graph of at (nor f(no)) is horizontal. b) there exists - (b) c) f(a) > f (b) f is decreasing in (a,b) d) fla) 0, \₂ € (a, b)
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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![Let & be continuous in [a,b] and differentiable in (a,b). It's true that:
a) f (a) = f(b) = 3 x € (a,b) such that the tangent line to the graph of at (nor f(no))
is horizontal.
b) there exists - (b)
c) f(a) > f (b) f is decreasing in (a,b)
d) fla)
<f(b) f([a,b]) =[f(a), f(b)]
e) f is strictly increasing in (a,b) ⇒ f'(x) >0, \₂ € (a, b)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6099d21a-e15a-47f8-adbb-0c871c33581f%2F85ebcb86-5950-4fa1-9de5-f56a7fa227ae%2Fvyvqmxq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let & be continuous in [a,b] and differentiable in (a,b). It's true that:
a) f (a) = f(b) = 3 x € (a,b) such that the tangent line to the graph of at (nor f(no))
is horizontal.
b) there exists - (b)
c) f(a) > f (b) f is decreasing in (a,b)
d) fla)
<f(b) f([a,b]) =[f(a), f(b)]
e) f is strictly increasing in (a,b) ⇒ f'(x) >0, \₂ € (a, b)
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