200 Let the functions f and g be differentiable at the inner point a of their domain. Then A] fg is differentiable at a. V then. There B] f'(a)g'(a) > 0. CD there exists a ceR such that f(x) = g(x) + c. D] (f(a)g(a))' = f'(a)g'(a).
200 Let the functions f and g be differentiable at the inner point a of their domain. Then A] fg is differentiable at a. V then. There B] f'(a)g'(a) > 0. CD there exists a ceR such that f(x) = g(x) + c. D] (f(a)g(a))' = f'(a)g'(a).
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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Please tell me which is the correct option
![Let the functions f and g be differentiable at the inner point a of their domain. Then (Theorem 19).
[A] fg is differentiable at a. V
then, there
crils Acce
[B] f'(a)g'(a) > 0.
[C] there exists a c ER such that f(x) = g(x) + c.
[D] (f(a)g(a))' = f'(a)g'(a).
Chords
54)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc16f4526-1dc1-4f30-adaa-c2533ea789f1%2F8c558a26-62fd-42d1-8c93-968b0690e235%2Fewrxb7n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let the functions f and g be differentiable at the inner point a of their domain. Then (Theorem 19).
[A] fg is differentiable at a. V
then, there
crils Acce
[B] f'(a)g'(a) > 0.
[C] there exists a c ER such that f(x) = g(x) + c.
[D] (f(a)g(a))' = f'(a)g'(a).
Chords
54)
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