Name: SOLUTION Registration Number: SOLUTION
Quiz No. 1
Calculus-I Section-3
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Problem: Find the derivative w.r.t. x of
.
1
1
x
x
y
Solution:
First Method 1
1
x
x
y
2
)1(
2
1
)1(
2
1
)1(
x
x
x
x
x
dx
dy
2
)1(
)11(
2
1
x
xx
x
2
)1(2
2
xx
.
)1(
1
2
xx
Second Method 1
1
x
x
y
2
)1(
)1)(1(
x
xx
y
2
)1(
1
x
x
y
4
2
)1(
2
1
)1)(1(21.)1(
x
x
xxx
dx
dy
3
)1(
2
1
)1(
x
x
x
x
.
)1(
1
)1(
)1(
)1(
1
233
xxxx
x
x
xxx
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