d/dx (e^x+x^5/2+10^x)
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Answer:
5
x
2
−
10
x
+
10
)
e
x
Differentiate using the Product Rule which states that
d
d
x
[
f
(
x
)
g
(
x
)
]
is
f
(
x
)
d
d
x
[
g
(
x
)
]
+
g
(
x
)
d
d
x
[
f
(
x
)
]
where
f
(
x
)
=
5
x
2
−
10
x
+
10
and
g
(
x
)
=
e
x
.
(
5
x
2
−
10
x
+
10
)
d
d
x
[
e
x
]
+
e
x
d
d
x
[
5
x
2
−
10
x
+
10
]
Differentiate using the Exponential Rule which states that
d
d
x
[
a
x
]
is
a
x
ln
(
a
)
where
a
=
e
.
(
5
x
2
−
10
x
+
10
)
e
x
+
e
x
d
d
x
[
5
x
2
−
10
x
+
10
]
Differentiate.
Step-by-step explanation:
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