CLASS 12 Algebra DERIVATIVES Test

Basic diferentation rules

1.A. If ( ) 10f x then find 'f

1.B. If ( ) 4f x then find 'f

1.C. If ( ) 4f x c then find 'f

2.A. If ( )f x x then find 'f

2.B. If 2( )f x x then find 'f

2.C. If 3( ) 4f x x then find 'f

3.A. If 4 3( )f x x then find 'f

3.B. If 3 4( )f x x then find 'f

3.C. If 2

1( )f x

x then find 'f

4.A. If 2( )f x x then find 'f

4.B. If 3( )f x x then find 'f

4.C. If 5

1( )f x

x then find 'f

Multiplying by coefficient

5.A. If 2( ) 3f x x then find 'f

5.B. If 4( ) 2f x x then find 'f

5.C. If 4

55( )

4f x x then find 'f

Sum rule

6.A. If 2( ) 7f x x then find 'f

6.B. If 3( )f x x x then find 'f

6.C. If 2( ) 3 5 1f x x x then find 'f

6.D. If 2( ) 2 3 1f x x x then find 'f at 1x (from past gds)

Product rule

7.A. If ( ) 1f x x x then find 'f

7.B. If 2( ) 1f x x x then find 'f

7.C. If 2( ) 2 1f x x x x then find 'f

8.A. If 3 2( ) 1 2f x x x then find 'f

8.B. If 2( ) 1 2f x x x then find 'f

8.C. If 5 2( ) 1 2 f x x x then find 'f

9.A. If 2( ) 1f x x x then find 'f