فهرست مطالب
Exercise 8A Work through the whole of this exercise following example 8.1.......Page 1
For extra practice, try the interactive questions Finding tangents and normals and Finding points on curves, given gradients.......Page 2
Investigating gradients......Page 3
Example 2......Page 4
Solution......Page 5
Differentiating from first principles......Page 6
Finding Tangents and Normals to Curves......Page 7
Example 7......Page 8
For practice in questions like the one above, try the interactive questions Finding points on curves, given gradients.......Page 9
1.Crucial points......Page 10
Exercise......Page 13
Solutions to Exercise......Page 14
1.Differentiation dominoes......Page 18
Multiple choice Test......Page 19
Exercise 8F Try all three questions. There is a worked solution to Q2 on the website. (This question illustrates the note about taking care when choosing which points to test on either side of the turning point.) This is only one method used to identi.........Page 22
Exercise 8G Try 3, 4*, 6, 7*, 8, 9*, 10......Page 23
Turning Points......Page 24
Second Derivatives......Page 26
Maximum and Minimum Problems......Page 29
2.Crucial points......Page 30
2.Additional exercise......Page 32
2.Solutions to Exercise......Page 34
2.Differentiation chapter assessment......Page 41
Multiple Choice Test......Page 42
For extra practice, try the interactive questions Finding tangents and normals and Finding points on curves, given gradients.......Page 2
Investigating gradients......Page 3
Example 2......Page 4
Solution......Page 5
Differentiating from first principles......Page 6
Finding Tangents and Normals to Curves......Page 7
Example 7......Page 8
For practice in questions like the one above, try the interactive questions Finding points on curves, given gradients.......Page 9
1.Crucial points......Page 10
Exercise......Page 13
Solutions to Exercise......Page 14
1.Differentiation dominoes......Page 18
Multiple choice Test......Page 19
Exercise 8F Try all three questions. There is a worked solution to Q2 on the website. (This question illustrates the note about taking care when choosing which points to test on either side of the turning point.) This is only one method used to identi.........Page 22
Exercise 8G Try 3, 4*, 6, 7*, 8, 9*, 10......Page 23
Turning Points......Page 24
Second Derivatives......Page 26
Maximum and Minimum Problems......Page 29
2.Crucial points......Page 30
2.Additional exercise......Page 32
2.Solutions to Exercise......Page 34
2.Differentiation chapter assessment......Page 41
Multiple Choice Test......Page 42
