1. Suppose that f is a differentiable function and f'(x) ≤ 4 on interval [-5, 2]. If f(2)= 6, then what is the smallest possible value that f(-5) could be? HINT: The mean value theorem.
1. Suppose that f is a differentiable function and f'(x) ≤ 4 on interval [-5, 2]. If f(2)= 6, then what is the smallest possible value that f(-5) could be? HINT: The mean value theorem.
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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![1. Suppose that f is a differentiable function and f'(x) ≤ 4 on interval [-5, 2]. If f(2)= 6, then what is
the smallest possible value that f(-5) could be? HINT: The mean value theorem.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F195a38c0-76a3-4b93-804b-72d24ccc8fdf%2F93489594-ebdf-4b30-8ab4-a3ead5ce4210%2F8abg5ge_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Suppose that f is a differentiable function and f'(x) ≤ 4 on interval [-5, 2]. If f(2)= 6, then what is
the smallest possible value that f(-5) could be? HINT: The mean value theorem.
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Step 1: Define the problem.
Suppose that is a differentiable function and
on interval
.
If , then to determine the smallest possible value of
.
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