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KEAM 2020 Math Paper
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© examsnet.com
Question : 93
Total: 120
If
y
=
(
cos
x
)
2
x
,
then
d
y
d
x
is equal to
2
(
cos
x
)
2
x
(
sin
x
−
x
tan
x
)
2
(
cos
x
)
2
x
[
log
(
cos
x
)
+
x
tan
x
]
2
(
sin
x
)
2
x
[
log
(
cos
x
)
−
x
tan
x
]
2
(
sin
x
)
2
x
x
cot
x
2
(
cos
x
)
2
x
[
log
(
cos
x
)
−
x
tan
x
]
Validate
Solution:
y
=
(
cos
x
)
2
x
log
y
=
2
×
log
(
cos
x
)
1
y
⋅
d
y
d
x
=
2
×
(
−
sin
x
)
cos
x
+
log
cos
x
⋅
2
d
y
d
x
=
2
(
cos
x
)
2
×
[
log
cos
x
−
x
tan
x
]
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