Q1-Use the chain rule to express dy / dx in terms of xand y: 1-1 a) y = аnd x = at 1= 2 1+1 b) y=1- 1 and at x = 2 1- x

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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团 /
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Q1- Use the chain rule to express dy /dx in terms of xand y:
1
1
t-1
a) y=
and
at t= 2
1+1
D) y=1-
1
and
at
x = 2
1-x
Q2 - Find dy/ dx for the following functions:
a) y = log,(3x' + 1)
b) y+ In(xy)= 1
c) y = x.cos 2x -V1 – 4x
d) y = sec 5x
e) y = x.In(sec'x)
S) y = 3 th 2x
Q3- Find dy /dx for the following functions:
a) y= coth(tanx)
b) y = sin (tanh x)
tanx
c) y= (Inx + x)"
Transcribed Image Text:87 团 / Quiz-5.pdf > Q1- Use the chain rule to express dy /dx in terms of xand y: 1 1 t-1 a) y= and at t= 2 1+1 D) y=1- 1 and at x = 2 1-x Q2 - Find dy/ dx for the following functions: a) y = log,(3x' + 1) b) y+ In(xy)= 1 c) y = x.cos 2x -V1 – 4x d) y = sec 5x e) y = x.In(sec'x) S) y = 3 th 2x Q3- Find dy /dx for the following functions: a) y= coth(tanx) b) y = sin (tanh x) tanx c) y= (Inx + x)"
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