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AP EAPCET 24-Aug-2021 Shift 2 Paper
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Section:
Mathematics
© examsiri.com
Question :
34 of 160
Marks:
+1
,
-0
If
→
a
=
t
2
^
i
+
e
t
^
j
+
^
k
and
→
b
=
2
^
i
+
t
2
^
j
+
log
‌
t
‌
^
k
and
f
(
t
)
=
→
a
.
→
b
, then
f
′
(
1
)
=
3
+
5
e
5
+
3
e
3
+
3
e
4
+
3
e
Validate
Solution:
We have.
a
=
t
2
^
i
+
e
2
j
+
^
k
and
b
=
2
^
i
+
t
2
^
j
+
log
‌
t
‌
^
k
f
(
t
)
=
a
.
b
f
(
t
)
=
2
t
2
+
t
2
e
t
+
log
‌
t
f
′
(
t
)
=
4
t
+
2
t
e
t
+
t
2
e
t
+
1
t
f
′
1
)
=
4
+
2
e
+
e
+
1
f
′
(
1
)
=
5
+
3
e
© examsiri.com
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