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UPSC NDA Math Model Paper 2
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© examsnet.com
Question : 51
Total: 120
The derivative of
sec
2
x with respect to sec x is
2 sec x
sec x
tan x
sec x tan x
Validate
Solution:
Let
u
=
sec
2
x
and
v
=
sec
x
Differentiating with respect to x, we get
⇒
d
u
d
x
=
d
s
e
c
2
x
d
x
=
d
s
e
c
2
x
d
s
e
c
x
×
d
s
e
c
x
d
x
=
2
sec
x
×
sec
x
tan
x
=
2
sec
2
x
tan
x
Now, v = sec x
Differentiating with respect to x, we get
⇒
d
v
d
x
=
sec
x
tan
x
Now,
d
u
d
v
=
d
u
d
x
×
d
x
d
v
=
d
u
d
x
d
v
d
x
=
2
sec
x
×
sec
x
tan
x
sec
x
tan
x
=
2
sec
x
© examsnet.com
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