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Calculus
Find tangent lines using implicit differentiation
Find the slope of the tangent line to the graph of
5
y
3
+
4
=
x
5y^3 + 4 = x
5
y
3
+
4
=
x
at
(
−
1
,
−
1
)
(-1,-1)
(
−
1
,
−
1
)
.
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Find the slope of the tangent line to the graph of
x
=
−
2
y
2
+
y
+
2
x = -2y^2 + y + 2
x
=
−
2
y
2
+
y
+
2
at
(
−
1
,
−
1
)
(-1,-1)
(
−
1
,
−
1
)
.
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Find the slope of the tangent line to the graph of
x
=
7
y
2
−
11
x = 7y^2 - 11
x
=
7
y
2
−
11
at
(
−
4
,
−
1
)
(-4,-1)
(
−
4
,
−
1
)
.
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Find the slope of the tangent line to the graph of
−
y
3
+
9
y
2
−
99
=
x
-y^3 + 9y^2 - 99 = x
−
y
3
+
9
y
2
−
99
=
x
at
(
1
,
5
)
(1,5)
(
1
,
5
)
.
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Find the slope of the tangent line to the graph of
−
y
2
+
5
y
+
17
=
x
-y^2 + 5y + 17 = x
−
y
2
+
5
y
+
17
=
x
at
(
3
,
−
2
)
(3,-2)
(
3
,
−
2
)
.
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Find the slope of the tangent line to the graph of
y
3
−
1
=
x
y^3 - 1 = x
y
3
−
1
=
x
at
(
−
2
,
−
1
)
(-2,-1)
(
−
2
,
−
1
)
.
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Find the slope of the tangent line to the graph of
x
=
−
6
y
2
+
9
y
−
4
x = -6y^2 + 9y - 4
x
=
−
6
y
2
+
9
y
−
4
at
(
−
1
,
1
)
(-1,1)
(
−
1
,
1
)
.
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Find the slope of the tangent line to the graph of
x
=
7
y
3
+
y
2
+
10
x = 7y^3 + y^2 + 10
x
=
7
y
3
+
y
2
+
10
at
(
4
,
−
1
)
(4,-1)
(
4
,
−
1
)
.
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Find the slope of the tangent line to the graph of
x
=
−
y
3
+
8
y
2
−
59
x = -y^3 + 8y^2 - 59
x
=
−
y
3
+
8
y
2
−
59
at
(
5
,
4
)
(5,4)
(
5
,
4
)
.
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Find the slope of the tangent line to the graph of
x
=
−
4
y
2
+
8
y
+
3
x = -4y^2 + 8y + 3
x
=
−
4
y
2
+
8
y
+
3
at
(
3
,
2
)
(3,2)
(
3
,
2
)
.
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Find the slope of the tangent line to the graph of
x
=
−
3
y
3
+
3
y
2
−
3
x = -3y^3 + 3y^2 - 3
x
=
−
3
y
3
+
3
y
2
−
3
at
(
−
3
,
1
)
(-3,1)
(
−
3
,
1
)
.
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Find the slope of the tangent line to the graph of
x
=
5
y
2
−
15
x = 5y^2 - 15
x
=
5
y
2
−
15
at
(
5
,
2
)
(5,2)
(
5
,
2
)
.
Get tutor help
Find the slope of the tangent line to the graph of
7
y
3
−
y
2
−
11
=
x
7y^3 - y^2 - 11 = x
7
y
3
−
y
2
−
11
=
x
at
(
−
5
,
1
)
(-5,1)
(
−
5
,
1
)
.
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Find the slope of the tangent line to the graph of
x
=
−
4
y
2
+
2
y
+
13
x = -4y^2 + 2y + 13
x
=
−
4
y
2
+
2
y
+
13
at
(
1
,
2
)
(1,2)
(
1
,
2
)
.
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Find the slope of the tangent line to the graph of
−
5
y
3
+
2
y
2
−
4
=
x
-5y^3 + 2y^2 - 4 = x
−
5
y
3
+
2
y
2
−
4
=
x
at
(
3
,
−
1
)
(3,-1)
(
3
,
−
1
)
.
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Find the slope of the tangent line to the graph of
6
y
3
−
7
=
x
6y^3 - 7 = x
6
y
3
−
7
=
x
at
(
−
1
,
1
)
(-1,1)
(
−
1
,
1
)
.
Get tutor help
Find the slope of the tangent line to the graph of
x
=
4
y
3
−
9
x = 4y^3 - 9
x
=
4
y
3
−
9
at
(
−
5
,
1
)
(-5,1)
(
−
5
,
1
)
.
Get tutor help
Find the slope of the tangent line to the graph of
x
=
3
y
3
−
4
x = 3y^3 - 4
x
=
3
y
3
−
4
at
(
−
1
,
1
)
(-1,1)
(
−
1
,
1
)
.
Get tutor help
Find the slope of the tangent line to the graph of
4
y
3
+
2
=
x
4y^3 + 2 = x
4
y
3
+
2
=
x
at
(
−
2
,
−
1
)
(-2,-1)
(
−
2
,
−
1
)
.
Get tutor help
Find the slope of the tangent line to the graph of
−
y
3
+
4
y
2
−
9
=
x
-y^3 + 4y^2 - 9 = x
−
y
3
+
4
y
2
−
9
=
x
at
(
−
4
,
−
1
)
(-4,-1)
(
−
4
,
−
1
)
.
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Factor completely.
\newline
9
−
x
2
y
4
9-x^{2}y^{4}
9
−
x
2
y
4
\newline
Answer:
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