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Mathematics
Mathematics
Problem
A function is defined by
s
(
x
)
=
e
sin
(
2
x
−
π
/
3
)
s(x)=e^{\sin(2x-\pi/3)}
s
(
x
)
=
e
s
i
n
(
2
x
−
π
/3
)
. (a) Determine
s
′
(
x
)
s'(x)
s
′
(
x
)
and simplify your result. (b) Find the equation of the line tangent to the graph of
s
s
s
at
x
=
π
6
x=\dfrac{\pi}{6}
x
=
6
π
. Express the line in point–slope form.
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