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Mathematics
Mathematics
Problem
For a constant
k
≠
0
k\ne 0
k
=
0
, let
g
(
x
)
=
sin
(
k
x
)
g(x)=\sin(kx)
g
(
x
)
=
sin
(
k
x
)
. What is
g
′
(
a
)
g'(a)
g
′
(
a
)
for an arbitrary real number
a
a
a
? a)
k
sin
(
k
a
)
k\sin(ka)
k
sin
(
k
a
)
b)
k
cos
(
k
a
)
k\cos(ka)
k
cos
(
k
a
)
c)
cos
(
k
a
)
\cos(ka)
cos
(
k
a
)
d)
k
2
cos
(
k
a
)
k^{2}\cos(ka)
k
2
cos
(
k
a
)
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