Mock quiz for calc

Mock Quiz: Practice with this in prep for Wednesday’s (Nov. 26) In-Class

Quiz.

Find the derivative of the following functions:

Note: The derivative is denoted by 𝒇 ′(𝒙) or 𝒅

𝒅𝒙 𝒇(𝒙) or

𝒅𝒚

𝒅𝒙 ; you must be

familiar with all of these notations

A. No Chain Rule

1. 𝑓(𝑥) = 5𝑥 4 + 2𝑥 3 − 3𝑥 2 − 7𝑥 + 11

2. 𝑓(𝑥) = (3𝑥)(2𝑥 − 5)(3𝑥 + 4)

3. 𝑓(𝑥) = (𝑥3+3)−2

(𝑥3−3)+2

B. Just Chain Rule Applied Once:

1. 𝑓(𝑥) = (5𝑥4 + 2𝑥 3 − 3𝑥 2 − 7𝑥 + 11)12

2. 𝑓(𝑥) = ( 2𝑥+1

3𝑥−4 )

10

C. Chain Rule Combo with Other Rules:

        

 

dx

dy Find

xxz

zy

x

x

dx

d

xxxxx dx

d

:

2

7153.3

125

1073 .2

2353.1

2

2

3

2

54423

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