Madas Find f′ x for each of the following functions.
Trang 1Created by T Madas
Differentiate the following expressions with respect to x
a) y=4 x−3x
2 1
3
2 1 2
3
dy
dx
−
−
b) y=2 x−4 x3 dy x 12 6x12
dx
−
c)
2
2
y
3
4
dy
dx
d)
2
1
x
2
dy
dx
−
4
x
8
dy
dx
Trang 2Created by T Madas
Find f′( )x for each of the following functions
a) ( ) 23
3
2 5
x
3
f′ x = − x− + x−
b) ( ) 34
4
2 8
x
f′ x = x− + x−
c) f x( ) 2x 32 4 x 2
x
f′ x = + x− + x−
d) ( ) 3 2
3
3 2
x
f′ x = x− + x−
e) ( ) 3
2
1 2
x
2
f′ x = x +x−
Trang 3Created by T Madas
Differentiate the following expressions with respect to x
a)
3
y
3
dy
dx
b)
4
y
2
dy
dx
c)
3
x y
+
dy
dx
−
−
3 2
dx
−