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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
)
where
k
is some constant.
f(x) = (kx + e^x)h(x) \text{ where } k \text{ is some constant.}
f
(
x
)
=
(
k
x
+
e
x
)
h
(
x
)
where
k
is some constant.
If
h
(
0
)
=
5
,
h
′
(
0
)
=
−
2
and
f
′
(
0
)
=
18
,
then the value of
k
is equal to ..... .
\text{If } h(0) = 5, h'(0) = -2 \text{ and } f'(0) = 18, \text{ then the value of } k \text{ is equal to ..... .}
If
h
(
0
)
=
5
,
h
′
(
0
)
=
−
2
and
f
′
(
0
)
=
18
,
then the value of
k
is equal to ..... .
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