Q.Let g : [1,4] H R be continuous function. Define G(x) = g(t)dt. Then a. G(x) is differentiable on [1,4] and G = g(x2). b. G(x) is differentiable on (1,4) and c. G(x) is differentiable on [1,4] and dG d. G(x) is differentiable on (1,4) and = g(x²). = 2æg(x²). 2æg(x²). dG dx dG dx a b d
Q.Let g : [1,4] H R be continuous function. Define G(x) = g(t)dt. Then a. G(x) is differentiable on [1,4] and G = g(x2). b. G(x) is differentiable on (1,4) and c. G(x) is differentiable on [1,4] and dG d. G(x) is differentiable on (1,4) and = g(x²). = 2æg(x²). 2æg(x²). dG dx dG dx a b d
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
Problem 30EQ
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![Q.Let g : [1,4] –R be continuous function.
Define G(x)
g(t)dt. Then
a. G(x) is differentiable on [1,4] and
b. G(x) is differentiable on (1,4) and
c. G(x) is differentiable on [1,4] and
d. G(x) is differentiable on (1,4) and dG = 2xg(x²).
dG
dx
dG
dx
g(x²).
= g(x²).
= 2æg(x²).
dx
dx
a
O b
O d](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbd8c2ba0-8f76-40ce-a02c-6984ba1291fe%2Fb33c7160-f754-4aad-88b8-dcc79477f2e7%2F84nuvth_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q.Let g : [1,4] –R be continuous function.
Define G(x)
g(t)dt. Then
a. G(x) is differentiable on [1,4] and
b. G(x) is differentiable on (1,4) and
c. G(x) is differentiable on [1,4] and
d. G(x) is differentiable on (1,4) and dG = 2xg(x²).
dG
dx
dG
dx
g(x²).
= g(x²).
= 2æg(x²).
dx
dx
a
O b
O d
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