New Calculus Quizzz!

Catch-Up Quiz: Do this over Thanksgiving Break DUE: Dec 1

Find the derivative of the following functions: (3 points each)

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. Basic Straightforward Derivative

1. 𝑓(𝑥) = 5𝑥 −3 − 2𝑥 3 − 3𝑥 2 + 9𝑥 1

3 + 1

2. 𝑓(𝑥) = (3𝑥)(2𝑥 − 5)(3𝑥 + 4)

3. 𝑓(𝑥) = 1

𝑥2− 𝑥 +1

B. Chain Rule Basic:

1. 𝑓(𝑥) = (5𝑥25 + 11)14

2. 𝑓(𝑥) = ( 2𝑥+1

3𝑥−4 )

−4

C. Chain Rule Combo with Other Rules:

        

 

  1

2 '

1

1 .4

:

2

7153.3

123

1072 .2

2531.1

4

3

2

5242

 



  











 

  









x xfif

x

x f

dx

d Find

dx

dy Find

xz

zy

x

x

dx

d

xxxx dx

d