y=e^(2x+1) + sin5x then dy/dx is
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Answer:
Differentiate using the Quotient Rule which states that
d
d
x
[
f
(
x
)
g
(
x
)
]
is
g
(
x
)
d
d
x
[
f
(
x
)
]
−
f
(
x
)
d
d
x
[
g
(
x
)
]
g
(
x
)
2
where
f
(
x
)
=
e
2
x
and
g
(
x
)
=
sin
(
5
x
)
.
sin
(
5
x
)
d
d
x
[
e
2
x
]
−
e
2
x
d
d
x
[
sin
(
5
x
)
]
sin
2
(
5
x
)
Differentiate using the chain rule, which states that
d
d
x
[
f
(
g
(
x
)
)
]
is
f
'
(
g
(
x
)
)
g
'
(
x
)
where
f
(
x
)
=
e
x
and
g
(
x
)
=
2
x
.
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