On the previous page, we learned how to use the graph of a function to determine where the function is NOT differentiable. At any given input value, a function is either differentiable or not differentiable. Consequently, it is often easier to first determine where a function is not differentiable, and then identify the intervals where the function is differentiable. Below is a graph of the function y = f(x). Determine where the function is differentiable. Explain your reasoning and write your answer in interval notation. 10 9 8 7 6 5+ 4 3 2 1 1 2 3 4 5 6 7 y = f (x) 8 9 10 X
On the previous page, we learned how to use the graph of a function to determine where the function is NOT differentiable. At any given input value, a function is either differentiable or not differentiable. Consequently, it is often easier to first determine where a function is not differentiable, and then identify the intervals where the function is differentiable. Below is a graph of the function y = f(x). Determine where the function is differentiable. Explain your reasoning and write your answer in interval notation. 10 9 8 7 6 5+ 4 3 2 1 1 2 3 4 5 6 7 y = f (x) 8 9 10 X
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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Transcribed Image Text:On the previous page, we learned how to use the graph of a function to determine where the function is NOT
differentiable. At any given input value, a function is either differentiable or not differentiable. Consequently, it is often
easier to first determine where a function is not differentiable, and then identify the intervals where the function is
differentiable.
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