Name: Solution Registration Number: Solution
Assignment Quiz No. 8
Calculus-I Section-3
=====================================================================
Problem: Use logarithmic differentiation to find the derivative of
.
sec
sin
x
xx
y
Solution:
x
xx
ysec
sin
x
xx
ysec
sin
lnln
2
1
)ln(secsinlnln xxxy
)ln(sec
2
1
sinlnlnln xxxy
)ln(sec
2
1
sinlnlnln x
dx
d
x
dx
d
x
dx
d
y
dx
d
)tan(sec
sec
1
2
1
cos
sin
1
1.
11 xx
x
x
xxdx
dy
y
xx
x
y
dx
dy tan
2
1
cot
1
.tan
2
1
cot
1
sec
sin
xx
x
x
xx
dx
dy
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