Name: Solution Registration Number: Solution
Assignment Quiz No. 8
Calculus-I Section-1
=====================================================================
Problem: Use logarithmic differentiation to find the derivative of
.
)12(
)1(
5
10
x
x
y
Solution:
5
10
)12(
)1(
x
x
y
5
10
)12(
)1(
lnln
x
x
y
5
10
)12(
)1(
ln
2
1
ln
x
x
y
510 )12ln()1ln(
2
1
ln xxy
)12ln(5)1ln(10
2
1
ln xxy
)12ln()1ln(2
2
5
ln xxy
)12ln()1ln(2
2
5
ln xx
dx
d
y
dx
d
2.
12
1
1.
1
2
2
51
xxdx
dy
y
12
1
1
1
5xx
y
dx
dy
)12)(1(
)1()12(
)12(
)1(5
2
5
5
xx
xx
x
x
dx
dy
.
)12(
)1(5
2
7
4
x
xx
dx
dy
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