Let f be a function of a. Which of the following is/are always true? (a) If f is differentiable at a, then f is continuous at a. (b) If f is continuous at a, then f is differentiable at a. O (a) only O (b) only O Neither (a) nor (b) O (a) and (b)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 19E
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D
Question 7
Let f be a function of x. Which of the following is/are always true?
(a) If f is differentiable at a, then f is continuous at a.
(b) If f is continuous at a, then f is differentiable at a.
O (a) only
(b) only
O Neither (a) nor (b)
O(a) and (b)
Transcribed Image Text:D Question 7 Let f be a function of x. Which of the following is/are always true? (a) If f is differentiable at a, then f is continuous at a. (b) If f is continuous at a, then f is differentiable at a. O (a) only (b) only O Neither (a) nor (b) O(a) and (b)
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