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Mathematics
Mathematics
Problem
Calculate
h
′
(
x
)
h'(x)
h
′
(
x
)
if
h
(
x
)
=
sin
x
e
x
h(x)=\sin x\,e^{x}
h
(
x
)
=
sin
x
e
x
. a)
e
x
cos
x
e^{x}\cos x
e
x
cos
x
b)
cos
x
+
sin
x
\cos x+\sin x
cos
x
+
sin
x
c)
e
x
(
sin
x
+
cos
x
)
e^{x}(\sin x+\cos x)
e
x
(
sin
x
+
cos
x
)
d)
e
x
(
sin
x
−
cos
x
)
e^{x}(\sin x-\cos x)
e
x
(
sin
x
−
cos
x
)
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