Name: SOLUTION Registration Number: SOLUTION
Assignment Quiz No. 4
Calculus-I Section-4
====================================================================
Problem: Find
dx
dy
if
.
2
yx
yx
x
Solution:
FIRST METHOD
yx
yx
x
2
yxyxx 23
32 )1( xxyx
1
2
3
x
xx
y
22
322
)1(
)2)(()31)(1(
x
xxxxx
dx
dy
22
43242
)1(
22313
x
xxxxx
.
)1(
22
22
234
x
xxx
SECOND METHOD
yx
yx
x
2
yxyxx 23
dx
dy
dx
dy
xxyx 123 22
xyx
dx
dy
x231)1( 22
1
231
2
2
x
xyx
dx
dy
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