Find f′ x for each of the following functions... Differentiate each of the following functions with respect to x... Carry out the following differentiations.
Trang 1Find f′( )x for each of the following functions
a) ( ) 3
f′ x = x −
b) f x( )=6x−12 +2x f′( )x = −3x−32 +2
c) ( ) 4 52
2
f′ x = x + x
d) ( ) 1 2 4 32
2
f x = x − x− f′( )x = +x 6x−52
e) ( ) 1 13 5
2
6
f′ x = x− +
Trang 2Differentiate each of the following functions with respect to x
a) f x( )=6x−32 +4x+ 1 f′( )x = −9x−52+4
b) ( ) 4 1
4
g x′ = x +x−
c) ( ) 9 2 1 4
2
h x′ = x− x
d) ( ) 4 12 6 13 1 14
2
8
p x′ = x− − x− − x−
e) ( ) ( )2
1 8 2
Trang 3Carry out the following differentiations
d
d
b) 12 2 12
3
d
dy
−
−
3
2 2 2 1 2 1 2
d
dy
d
dz
−
d
dz
d)
3 2
2
d
dw
−
−
2
d
dw
e) ( 2 2)
3
d
d