Name: Solution Registration Number: Solution
Assignment Quiz No. 8
Calculus-I Section-4
=====================================================================
Problem: Use logarithmic differentiation to find the derivative of
.12)(tan xxy
Solution:
12)(tan xxy
12)(tanlnln xxy
12lntanlnln xxy
12ln
2
1
tanlnln xxy
12ln
2
1
tanlnln x
dx
d
x
dx
d
y
dx
d
2.
12
1
2
1
sec.
tan
11 2
x
x
xdx
dy
y
12
1
tan
sec2
xx
x
y
dx
dy
12
1
tan
sec
12)(tan 2
xx
x
xx
dx
dy
xx
xxx
xx
dx
dy
tan)12(
tansec)12(
12)(tan 2
.
12
tansec)12( 2
x
xxx
dx
dy
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