(36x^3)^1/3
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Calculus Examples
Popular Problems Calculus Find the Critical Points 3x-36x^(1/3)
3
x
−
36
x
1
3
3x-36x13
Find the derivative.
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3
−
12
x
2
3
3-12x23
Set the derivative equal to
0
0.
3
−
12
x
2
3
=
0
3-12x23=0
Solve for
x
x.
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x
=
8
,
−
8
x=8,-8
Substitute the values of
x
x which cause the derivative to be
0
0 into the original function.
f
(
8
)
=
3
(
8
)
−
36
(
8
)
1
3
f(8)=3(8)-36(8)13
f
(
−
8
)
=
3
(
−
8
)
−
36
(
−
8
)
1
3
f(-8)=3(-8)-36(-8)13
Evaluate.
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f
(
8
)
=
−
48
f(8)=-48
f
(
−
8
)
=
48
f(-8)=48
Find the domain of the derivative.
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Interval Notation:
(
−
∞
,
0
)
∪
(
0
,
∞
)
(-∞,0)∪(0,∞)
Set-Builder Notation:
{
x
|
x
≠
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Answer:
(36×3) ×1/3=36
Step-by-step explanation:
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