# Section_ 2.5 Implicit Differentiation

Education

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All Questions

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Multiple Choice

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Q 1

Find by implicit differentiation.
A)
B)
C)
D)
E)

Free

Multiple Choice

B

Q 2

Find by implicit differentiation.
A)
B)
C)
D)
E)

Free

Multiple Choice

E

Q 3

Find by implicit differentiation given that .
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B)
C)
D)
E)

Free

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C

Q 4

Find by implicit differentiation.
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B)
C)
D)
E)

Multiple Choice

Q 5

Find by implicit differentiation given that .
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Q 6

Use implicit differentiation to find .
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D)
E)

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Q 7

Find by implicit differentiation.
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B)
C)
D)
E)

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Q 8

Find by implicit differentiation.
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B)
C)
D)
E)

Multiple Choice

Q 9

Find by implicit differentiation.
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B)

Multiple Choice

Q 10

Find by implicit differentiation given that .Use the original equation to simplify your answer.
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B)
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D)
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Multiple Choice

Q 11

Use implicit differentiation to find .
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Q 12

Use implicit differentiation to find .
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Q 13

Evaluate for the equation at the given point .Round your answer to two decimal places if necessary.
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Q 14

Evaluate for the equation at the given point .Round your answer to two decimal places if necessary.
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B)
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Q 15

Evaluate for the equation at the given point .Round your answer to two decimal places if necessary.
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Q 16

Use implicit differentiation to find at the point .
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Q 17

Find the slope of the tangent line at the given point .Round your answer to two decimal places if necessary.
A)0.67
B)2
C)1
D)1.67
E)3

Multiple Choice

Q 18

Find an equation of the tangent line to the graph of the function given below at the given point. , (The coefficients below are given to two decimal places. )
A)
B)
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Multiple Choice

Q 19

Find an equation of the tangent line to the graph of the function at the point .The coefficients below are given to two decimal places.
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Q 20

Use implicit differentiation to find an equation of the tangent line to the ellipse at .
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Q 21

Find in terms of x and y given that .Use the original equation to simplify your answer.
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B)
C)
D)
E)

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Q 22

Find in terms of x and y given that .
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B)
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D)
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Q 23

Find in terms of x and y.
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B)
C)
D)
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Q 24

Find in terms of x and y.
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B)
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Q 25

Find the points at which the graph of the equation has a vertical or horizontal tangent line.
A)There is a vertical tangent at but no horizontal tangents.
B)There is a horizontal tangent at and a vertical tangent at
.
C)There is a horizontal tangent at but no vertical tangents.
D)There is a horizontal tangent at and a vertical tangent at
.
E)There are no horizontal or vertical tangent lines.

Multiple Choice

Q 26

Use logarithmic differentiation to find the derivative of .
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Q 27

Use logarithmic differentiation to find .
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Q 28

Use logarithmic differentiation to find .
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Q 29

Differentiate with respect to t (x and y are functions of t).
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Multiple Choice

Q 30

Differentiate with respect to t (x and y are functions of t).
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D)
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Multiple Choice