Q.Let f: [1,4] R be continuous function. Define F(x) = S* f(t)dt. Then a. F(x) is differentiable on [1,4] and E = f(3x). b. F(x) is differentiable on (1,4) and c. F(x) is differentiable on (1,4) and d. F(x) is differentiable on [1,4] and %3D %3D f(3x). %3D = 3f(3x). dF = 3f(3x). %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Q.Let f: [1,4]
Define F(x) = * f(t)dt. Then
a. F(x) is differentiable on [1,4] and
b. F(x) is differentiable on (1,4) and
c. F(x) is differentiable on (1,4) and
d. F(x) is differentiable on [1,4] and
- R be continuous function.
%3D
= f(3x).
= f(3x).
= 3f(3x).
= 3f(3x).
Transcribed Image Text:Q.Let f: [1,4] Define F(x) = * f(t)dt. Then a. F(x) is differentiable on [1,4] and b. F(x) is differentiable on (1,4) and c. F(x) is differentiable on (1,4) and d. F(x) is differentiable on [1,4] and - R be continuous function. %3D = f(3x). = f(3x). = 3f(3x). = 3f(3x).
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