Which of the following statements is NOT true about the derivative of the function? The derivative of a function refers to the slope of the line tangent to f (x) at any point x. O All continuous functions are differentiable functions. All differentiable functions are continuous functions. f'(a) of a function f (x) is the slope of the line tangent to the function at x = a.

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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Which of the following statements is NOT true about the derivative of the function?
The derivative of a function refers to the slope of the line tangent to f (x) at any point x.
All continuous functions are differentiable functions.
O All differentiable functions are continuous functions.
f'(a) of a function f (x) is the slope of the line tangent to the function at x = a.
Transcribed Image Text:Which of the following statements is NOT true about the derivative of the function? The derivative of a function refers to the slope of the line tangent to f (x) at any point x. All continuous functions are differentiable functions. O All differentiable functions are continuous functions. f'(a) of a function f (x) is the slope of the line tangent to the function at x = a.
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