evaluate the following
d/dx(5x⁴+4x+sinx)
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Answer:
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Explanation:
By the Sum Rule, the derivative of
5
x
3
−
4
x
2
+
3
x
−
6
with respect to
x
is
d
d
x
[
5
x
3
]
+
d
d
x
[
−
4
x
2
]
+
d
d
x
[
3
x
]
+
d
d
x
[
−
6
]
.
d
d
x
[
5
x
3
]
+
d
d
x
[
−
4
x
2
]
+
d
d
x
[
3
x
]
+
d
d
x
[
−
6
]
Evaluate
d
d
x
[
5
x
3
]
.
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15
x
2
+
d
d
x
[
−
4
x
2
]
+
d
d
x
[
3
x
]
+
d
d
x
[
−
6
]
Evaluate
d
d
x
[
−
4
x
2
]
.
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15
x
2
−
8
x
+
d
d
x
[
3
x
]
+
d
d
x
[
−
6
]
Evaluate
d
d
x
[
3
x
]
.
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15
x
2
−
8
x
+
3
+
d
d
x
[
−
6
]
Differentiate using the Constant Rule.
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15
x
2
−
8
x
+
3
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