derivatives of x²+2x-1
Answers
Answer:
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Calculus Examples
Popular Problems Calculus Find the Derivative f(x)=x^2+2x+1
f
(
x
)
=
x
2
+
2
x
+
1
Differentiate.
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By the Sum Rule, the derivative of
x
2
+
2
x
+
1
with respect to
x
is
d
d
x
[
x
2
]
+
d
d
x
[
2
x
]
+
d
d
x
[
1
]
.
d
d
x
[
x
2
]
+
d
d
x
[
2
x
]
+
d
d
x
[
1
]
Differentiate using the Power Rule which states that
d
d
x
[
x
n
]
is
n
x
n
−
1
where
n
=
2
.
2
x
+
d
d
x
[
2
x
]
+
d
d
x
[
1
]
Evaluate
d
d
x
[
2
x
]
.
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Since
2
is constant with respect to
x
, the derivative of
2
x
with respect to
x
is
2
d
d
x
[
x
]
.
2
x
+
2
d
d
x
[
x
]
+
d
d
x
[
1
]
Differentiate using the Power Rule which states that
d
d
x
[
x
n
]
is
n
x
n
−
1
where
n
=
1
.
2
x
+
2
⋅
1
+
d
d
x
[
1
]
Multiply
2
by
1
.
2
x
+
2
+
d
d
x
[
1
]
Differentiate using the Constant Rule.
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Since
1
is constant with respect to
x
, the derivative of
1
with respect to
x
is
0
.
2
x
+
2
+
0
Add
2
x
+
2
and
0
.
2
x
+
2
Step-by-step explanation:
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Answer:
the answer is 2x + 2
Step-by-step explanation:
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