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EAMCET Engineering 2010 Solved Paper
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© examsnet.com
Question : 37
Total: 160
If
f
(
x
)
=
s
i
n
x
+
cos
x
, then
f
(
π
4
)
f
(
i
v
)
(
π
4
)
is equal to
1
2
3
4
Validate
Solution:
f
(
x
)
=
s
i
n
x
+
cos
x
f
′
(
x
)
=
cos
x
−
s
i
n
x
f
′
′
(
x
)
=
−
s
i
n
x
−
cos
x
f
′
′
′
(
x
)
=
−
cos
x
+
s
i
n
x
f
′
′
′
′
(
x
)
=
s
i
n
x
+
cos
x
So,
f
(
π
4
)
=
f
′
′
′
(
π
4
)
=
s
i
n
(
π
4
)
+
cos
(
π
4
)
=
1
√
2
+
1
√
2
=
2
√
2
=
√
2
Then,
f
(
π
4
)
f
′
′
′
(
π
4
)
=
√
2
×
√
2
=
2
© examsnet.com
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