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Mathematics
Mathematics
Problem
Let
h
(
x
)
h(x)
h
(
x
)
be differentiable for all
x
x
x
and let
f
(
x
)
=
(
k
x
+
e
x
)
h
(
x
)
f(x) = (kx + e^x)h(x)
f
(
x
)
=
(
k
x
+
e
x
)
h
(
x
)
, where
k
k
k
is some constant. If
h
(
0
)
=
5
h(0) = 5
h
(
0
)
=
5
,
h
′
(
0
)
=
−
2
h'(0) = -2
h
′
(
0
)
=
−
2
and
f
′
(
0
)
=
18
f'(0) = 18
f
′
(
0
)
=
18
, then the value of
k
k
k
is (a) 5 (b) 4 (c) 3 (d) 2.2
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