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1.) Which of the following are TRUE about differentiable function: I If rx) exists, then the function f(x) is differentiable at point x = a. II. If (x) exists at every point in asIsb, then f(x) is differentiable on the interval a s III Differentiability implies continuity. IV. Continuity implies differentiability. a.) I and II b.) III and IV c) LIl and III d.) All of the above

1.) Which of the following are TRUE about differentiable function: I If rx) exists, then the function f(x) is differentiable at point x = a. II. If (x) exists at every point in asIsb, then f(x) is differentiable on the interval a s III Differentiability implies continuity. IV. Continuity implies differentiability. a.) I and II b.) III and IV c) LIl and III d.) All of the above

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 63E
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1.) Which of the following are TRUE about differentiable function: I. If rx) exists, then the function fx) is differentiable at point x = a. II. If (x) exists at every point in asIsb, then f(x) is differentiable on the interval a s xsb. Differentiability implies continuity. III. Continuity implies differentiability. IV. a.) I and II b.) III and IV c) LIll and III d.) All of the above 2.) Which of the following is an expression for derivative of f(x)? a.) f'(x) = a+dr)+{(x) Ax b.) "(x) = lim c.) '(x) = L+ar)-f(x) d.) f"(x) = Jim
Transcribed Image Text:1.) Which of the following are TRUE about differentiable function: I. If rx) exists, then the function fx) is differentiable at point x = a. II. If (x) exists at every point in asIsb, then f(x) is differentiable on the interval a s xsb. Differentiability implies continuity. III. Continuity implies differentiability. IV. a.) I and II b.) III and IV c) LIll and III d.) All of the above 2.) Which of the following is an expression for derivative of f(x)? a.) f'(x) = a+dr)+{(x) Ax b.) "(x) = lim c.) '(x) = L+ar)-f(x) d.) f"(x) = Jim
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