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

Create your own worksheets like this one with Infinite Calculus. Free trial available at

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Worksheet by Kuta Software LLC

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