Let y = 3x(In x)², find dy and d²y dx dx2" A. dy 6 В. dy 6x + 3(In x)²; dx + 3 In x; dx d²y dx2 6 In x 6х + d²y dx² 2 In x 6х + C. dy 6ln x + 3(ln x)²; D. dy = 6 In x + 2(ln x)3; dx dx d²y _6 6 ln x = -+ dx² d²y_63(ln x)² dx
Let y = 3x(In x)², find dy and d²y dx dx2" A. dy 6 В. dy 6x + 3(In x)²; dx + 3 In x; dx d²y dx2 6 In x 6х + d²y dx² 2 In x 6х + C. dy 6ln x + 3(ln x)²; D. dy = 6 In x + 2(ln x)3; dx dx d²y _6 6 ln x = -+ dx² d²y_63(ln x)² dx
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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Question
Transcribed Image Text:QUESTION B19
d²y
Let y = 3x(ln x)², find
and
dx
%3D
A.
dy
=-+3 In x;
dx
В.
dy
= 6x + 3(ln x)²;
dx
6.
d²y
— 6х +
dx²
6 In x
d²y
= 6x +
dx²
2 In x
С.
dy
= 6ln x+ 3(ln x)²;
dx
D.
dy
3 6 Inx+2(in х)3;
dx
d²y 6
dx²
6 In x
d²y
6. 3(In x)²
=-+
dx2
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