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Mathematics
Mathematics
Problem
Suppose the function
f
(
x
)
−
f
(
2
x
)
f(x)-f(2x)
f
(
x
)
−
f
(
2
x
)
has the derivative 5 at
x
=
1
x=1
x
=
1
and derivative 7 at
x
=
2
x=2
x
=
2
. The derivative of the function
f
(
x
)
−
f
(
4
x
)
f(x)-f(4x)
f
(
x
)
−
f
(
4
x
)
at
x
=
1
x=1
x
=
1
has the value equal to (a) 19 (b) 9 (c) 17 (d) 14
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