y = x – 4x + 3
y = x + x – 6x – 4
y = x3 – 3x2 + 3x – 5
y=6+x–x
y = 5 + x – 2x – x
y = 3 + 6x – x
2
2
3
2
2
3
3
y = 4 – x2
y = x3 + 5
y = x4 – 3x2 – 4
y = x2 – 9
y = x3 – 6x
y = 1 (9 + 8x2 – x4)
4
Nuffield Free Standing Mathematics Activity ‘Derivative matching’ Student cards
© Nuffield Foundation 2011 ● downloaded from www.fsmq.org
Copiable page 1 of 6
15 y
10 y
6y
4
10
5
2
-4
0
-4
0
-2
x
0
5
0
2
-2
2
0
2
4
-5
x
6
4
0
-2
x
4
-2
-10
-4
-5
8y
10 y
10 y
5
5
6
4
x
0
-4
2
0
-4
-2
0
2
-2
0
2
4
x
0
-4
-2
0
-5
-5
-10
-10
2
4
x
4
-2
Nuffield Free Standing Mathematics Activity ‘Derivative matching’ Student cards
© Nuffield Foundation 2011 ● downloaded from www.fsmq.org
Copiable page 2 of 6
10 y
10 y
10 y
5
5
5
x
0
-4
-2
0
2
-4
-2
0
2
4
x
0
-4
-2
0
-5
-5
-5
-10
-10
-10
10 y
10 y
10 y
5
5
5
x
0
-4
4
x
0
-2
0
2
4
x
0
-4
-2
0
2
4
-4
-2
0
-5
-5
-10
-10
-10
4
x
0
-5
Nuffield Free Standing Mathematics Activity ‘Derivative matching’ Student cards
© Nuffield Foundation 2011 ● downloaded from www.fsmq.org
2
2
4
Copiable page 3 of 6
y = 2x – 4
y = 3x2 + 2x – 6
y = 3x2 – 6x + 3
y = 1 – 2x
y = 1 – 4x – 3x2
y = 6 – 3x2
y = – 2x
y = 3x2
y = 4x3 – 6x
y = 2x
y = 3x2 – 6
y = 4x – x3
Nuffield Free Standing Mathematics Activity ‘Derivative matching’ Student cards
© Nuffield Foundation 2011 ● downloaded from www.fsmq.org
Copiable page 4 of 6
10 y
10 y
10 y
5
5
5
0
-2
0
2
4
0
-4
-2
0
2
x
4
0
-4
-2
0
-5
-5
-5
-10
-10
-10
10 y
10 y
10 y
5
5
5
0
-4
x
6
-2
0
2
x
4
0
-4
-2
0
2
x
4
x
4
2
x
4
0
-4
-2
0
-5
-5
-5
-10
-10
-10
Nuffield Free Standing Mathematics Activity ‘Derivative matching’ Student cards
© Nuffield Foundation 2011 ● downloaded from www.fsmq.org
2
Copiable page 5 of 6
10 y
10 y
10 y
5
5
5
0
-4
-2
0
2
0
-4
-2
0
2
x
4
0
-4
-2
0
-5
-5
-5
-10
-10
-10
10 y
10 y
10 y
5
5
5
0
-4
x
4
-2
0
2
x
4
0
-4
-2
0
2
x
4
x
4
2
x
4
0
-4
-2
0
-5
-5
-5
-10
-10
-10
Nuffield Free Standing Mathematics Activity ‘Derivative matching’ Student cards
© Nuffield Foundation 2011 ● downloaded from www.fsmq.org
2
Copiable page 6 of 6