MAT 145
Name:
Derivative Gateway Quiz #2
Date:
Provide the requested information. Do not use notes, calculators, other people’s work, or
any other aids.
1.
(a)
(b)
State the derivative of each function. Each derivative should start with y ! = or
y = x 6 − 3x 4 +13x
y=
2x 6 − 6x 2
2x
dy
= . (1 pt each)
dx
___________________________________
___________________________________
(c)
y = 3cos x
___________________________________
(d)
y = sin 2x
( )
___________________________________
(e)
y = tan x
___________________________________
(f)
y = x10
___________________________________
(g)
y = 3e x
___________________________________
(h)
y = 5x
___________________________________
(i)
y = x e−1
___________________________________
(j)
y = ln(x)
___________________________________
Please calculate derivatives on the reverse side as well!
Calculate the derivative of each of the following functions. Show all steps. (3 pts each)
( ) (ln x)
2. y = 3x
2
(
3
3. y = 2sin 2x − 5x
_______________________
)
_______________________
Please calculate derivatives on the reverse side as well!