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Q.Let g: [1,4] → R be continuous function. Define G(x) = g(t)dt. Then dx dG a. G(x) is differentiable on [1,4] and dG = g(x²). b. G(x) is differentiable on (1,4) and d = g(x²). c. G(x) is differentiable on [1,4] and d = 2xg(x²). d. G(x) is differentiable on (1,4) and dG = 2xg(x²). dG dx

Q.Let g: [1,4] → R be continuous function. Define G(x) = g(t)dt. Then dx dG a. G(x) is differentiable on [1,4] and dG = g(x²). b. G(x) is differentiable on (1,4) and d = g(x²). c. G(x) is differentiable on [1,4] and d = 2xg(x²). d. G(x) is differentiable on (1,4) and dG = 2xg(x²). dG dx

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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Q.Let g: [1,4] Define G(x) = S. g(t)dt. Then a. G(x) is differentiable on [1,4] and dG b. G(x) is differentiable on (1,4) and c. G(x) is differentiable on [1,4] and G = 2xg(x²). d. G(x) is differentiable on (1,4) and G HR be continuous function. = g(x?). = g(x²). dx %3D dx - 2æg(x²). %3D dx a O d
Transcribed Image Text:Q.Let g: [1,4] Define G(x) = S. g(t)dt. Then a. G(x) is differentiable on [1,4] and dG b. G(x) is differentiable on (1,4) and c. G(x) is differentiable on [1,4] and G = 2xg(x²). d. G(x) is differentiable on (1,4) and G HR be continuous function. = g(x?). = g(x²). dx %3D dx - 2æg(x²). %3D dx a O d
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