Tangent Lines Date Period - Kuta Software
[Pages:2]Kuta Software - Infinite Calculus
Name___________________________________
Tangent Lines
Date________________ Period____
For each problem, find the equation of the line tangent to the function at the given point. Your answer should be in slope-intercept form.
1)
y
=
3
x
-
3x2
+
2
at (3, 2)
y 8
6
( ) 5
5
2)
y
=
-
2
x
+
1
at
-1, - 2
y 6
4
4
2
2
-4 -2 -2 -4 -6 -8
2 4 6 8 10 x
-8 -6 -4 -2 -2 -4 -6 -8
-10
246x
3)
y
=
3
x
-
2x2
+
2
at (2, 2)
( ) 3
1
4)
y
=
-
2
x
-
25
at
-4, 3
5)
3
y
=
-
2
x
-
4
at (1, 1)
7) y = ln (-x) at (-2, ln 2)
1
6) y = (5x + 5) 2 at (4, 5)
8) y = -2tan (x) at (-, 0)
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Calculus
Name___________________________________
Tangent Lines
Date________________ Period____
For each problem, find the equation of the line tangent to the function at the given point. Your answer should be in slope-intercept form.
1)
y
=
3
x
-
3x2
+
2
at (3, 2)
y 8
6
( ) 5
5
2)
y
=
-
2
x
+
1
at
-1, - 2
y 6
4
4
2
2
-4 -2 -2 -4 -6 -8
2 4 6 8 10 x
y = 9x - 25
-8 -6 -4 -2 -2 -4 -6 -8
-10
246x
5 y=- x-5
2
3)
y
=
3
x
-
2x2
+
2
at (2, 2)
y = 4x - 6
( ) 3
1
4)
y
=
-
2
x
-
25
at
-4, 3
8 23 y=- x-
27 27
5)
3
y
=
-
2
x
-
4
at (1, 1)
21 y= x+
3 3
7) y = ln (-x) at (-2, ln 2)
1 y = - x + ln 2 - 1
2
1
6) y = (5x + 5) 2 at (4, 5)
1 y= x+3
2
8) y = -2tan (x) at (-, 0)
y = -2x - 2
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Worksheet by Kuta Software LLC
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