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Mathematics
Mathematics
Problem
Differentiate
y
=
x
2
e
x
sin
x
y = x^{2}e^{x}\sin x
y
=
x
2
e
x
sin
x
and choose the correctly simplified form of
y
′
y'
y
′
. a)
e
x
[
(
2
x
+
x
2
)
cos
x
+
x
2
sin
x
]
e^{x}\big[(2x+x^{2})\cos x + x^{2}\sin x\big]
e
x
[
(
2
x
+
x
2
)
cos
x
+
x
2
sin
x
]
b)
e
x
[
2
x
sin
x
+
x
2
cos
x
]
e^{x}\big[2x\sin x + x^{2}\cos x\big]
e
x
[
2
x
sin
x
+
x
2
cos
x
]
c)
e
x
[
(
2
x
+
x
2
)
sin
x
+
x
2
cos
x
]
e^{x}\big[(2x+x^{2})\sin x + x^{2}\cos x\big]
e
x
[
(
2
x
+
x
2
)
sin
x
+
x
2
cos
x
]
d)
e
x
[
(
2
x
+
x
2
)
sin
x
+
2
x
cos
x
]
e^{x}\big[(2x+x^{2})\sin x + 2x\cos x\big]
e
x
[
(
2
x
+
x
2
)
sin
x
+
2
x
cos
x
]
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