# C3 Revision Table

- Created by: katherine
- Created on: 05-09-13 11:54

First 223 words of the document:

C3 Summary ..What we have learnt so far

You can now differentiate a range of `functions of functions' using the CHAIN RULE

dy

Find dx of the following:

8

1. (2x2 + 3x)

2. e4xsin (4x3 + 12x)

3.

4. ln(3x-9)

You can differentiate products using the product rule:

dy

Find dx of the following:

5. e-xtan2x

6. Cos2x sin (0.5x)

You can differentiate quotients using the quotient rule:

dy

Find dx of the following:

7. lnx

x

8. Cot x

You can solve simple equations involving e and ln

9. Solve e2x=10

10. Solve 3lnx = 5

You can also apply these rules in a variety of ways:

11. Find the equation of the normal to y=(x+1)lnx at x =1

12. Find the stationary points on y = (x2 -3)ex and identify their nature.

You have been introduced to the reciprocal Trig functions

13. Sketch y= sec x, y=cosec x, y= cot x and state their range and domain

You can solve simple reciprocal trig equations

14. Solve 3cotx-5 =0 for 0<x<360

15. Solve sec2x =1 for 0<x<180

You have learnt two new Identities and can use them to solve equations and prove identities

16. Solve 2cosec2x +7cotx =6

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