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Given f(x) =x and g(x)=-x", which of the following statement/s is/are true? A. f(x) is differentiable at x = 0. B. g(x) is differentiable at x = 0. c. (f +g)(x) is differentiable at x =0. D. (f +g)(x) is continuous at x = 0. E. Neither f (x) and g(x) is continuous at r = 0.

Given f(x) =x and g(x)=-x", which of the following statement/s is/are true? A. f(x) is differentiable at x = 0. B. g(x) is differentiable at x = 0. c. (f +g)(x) is differentiable at x =0. D. (f +g)(x) is continuous at x = 0. E. Neither f (x) and g(x) is continuous at r = 0.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Given f(x)=x and g(x)=-x', which of the following statement/s is/are true? A. f(x) is differentiable at x = 0. B. g(x) is differentiable at x = 0. c. (f +g)(x) is differentiable at x = 0. D. (f +g)(x) is continuous at x = 0. E. Neither f (x) and g(x) is continuous at x = 0. A В C D
Transcribed Image Text:Given f(x)=x and g(x)=-x', which of the following statement/s is/are true? A. f(x) is differentiable at x = 0. B. g(x) is differentiable at x = 0. c. (f +g)(x) is differentiable at x = 0. D. (f +g)(x) is continuous at x = 0. E. Neither f (x) and g(x) is continuous at x = 0. A В C D
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