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Page 1: c3 december bootcamp - NLCS Maths Department - Home · c3 december bootcamp 18 Dec 2112:54 PM things we fell unsure about... 1. what rule to use??? product quotient chain 2. finding

c3 december bootcamp

1Dec 21­9:00 AM

Page 2: c3 december bootcamp - NLCS Maths Department - Home · c3 december bootcamp 18 Dec 2112:54 PM things we fell unsure about... 1. what rule to use??? product quotient chain 2. finding

c3 december bootcamp

2Dec 21­10:11 AM

TEST

Page 3: c3 december bootcamp - NLCS Maths Department - Home · c3 december bootcamp 18 Dec 2112:54 PM things we fell unsure about... 1. what rule to use??? product quotient chain 2. finding

c3 december bootcamp

3Dec 21­9:22 AM

Page 4: c3 december bootcamp - NLCS Maths Department - Home · c3 december bootcamp 18 Dec 2112:54 PM things we fell unsure about... 1. what rule to use??? product quotient chain 2. finding

c3 december bootcamp

4Dec 21­10:11 AM

TEST

Page 5: c3 december bootcamp - NLCS Maths Department - Home · c3 december bootcamp 18 Dec 2112:54 PM things we fell unsure about... 1. what rule to use??? product quotient chain 2. finding

c3 december bootcamp

5Dec 21­10:33 AM

useful formulae in the formula book

Page 6: c3 december bootcamp - NLCS Maths Department - Home · c3 december bootcamp 18 Dec 2112:54 PM things we fell unsure about... 1. what rule to use??? product quotient chain 2. finding

c3 december bootcamp

6Dec 21­9:24 AM

75 marks = 90 minutes5 marks = 6 minutes

but to account for exam checking time we will go for...

1 mark = 1 minute

Page 7: c3 december bootcamp - NLCS Maths Department - Home · c3 december bootcamp 18 Dec 2112:54 PM things we fell unsure about... 1. what rule to use??? product quotient chain 2. finding

c3 december bootcamp

7Dec 21­9:22 AM

Page 8: c3 december bootcamp - NLCS Maths Department - Home · c3 december bootcamp 18 Dec 2112:54 PM things we fell unsure about... 1. what rule to use??? product quotient chain 2. finding

c3 december bootcamp

8Dec 21­10:56 AM

FUN ASIDE #1

Page 9: c3 december bootcamp - NLCS Maths Department - Home · c3 december bootcamp 18 Dec 2112:54 PM things we fell unsure about... 1. what rule to use??? product quotient chain 2. finding

c3 december bootcamp

9Dec 21­10:58 AM

FUN ASIDE #2

Page 10: c3 december bootcamp - NLCS Maths Department - Home · c3 december bootcamp 18 Dec 2112:54 PM things we fell unsure about... 1. what rule to use??? product quotient chain 2. finding

c3 december bootcamp

10Dec 21­9:25 AM

Page 11: c3 december bootcamp - NLCS Maths Department - Home · c3 december bootcamp 18 Dec 2112:54 PM things we fell unsure about... 1. what rule to use??? product quotient chain 2. finding

c3 december bootcamp

11Dec 21­9:26 AM

WRONG: MISTAKE IN FIRST

LINE!!!

Page 12: c3 december bootcamp - NLCS Maths Department - Home · c3 december bootcamp 18 Dec 2112:54 PM things we fell unsure about... 1. what rule to use??? product quotient chain 2. finding

c3 december bootcamp

12Dec 21­11:26 AM

Page 13: c3 december bootcamp - NLCS Maths Department - Home · c3 december bootcamp 18 Dec 2112:54 PM things we fell unsure about... 1. what rule to use??? product quotient chain 2. finding

c3 december bootcamp

13Dec 21­11:33 AM

equation in one variable

trick

three marks for x

three marks for y

(one or substituting)

Page 14: c3 december bootcamp - NLCS Maths Department - Home · c3 december bootcamp 18 Dec 2112:54 PM things we fell unsure about... 1. what rule to use??? product quotient chain 2. finding

c3 december bootcamp

14Dec 21­9:26 AM

Page 15: c3 december bootcamp - NLCS Maths Department - Home · c3 december bootcamp 18 Dec 2112:54 PM things we fell unsure about... 1. what rule to use??? product quotient chain 2. finding

c3 december bootcamp

15Dec 21­11:54 AM

Page 16: c3 december bootcamp - NLCS Maths Department - Home · c3 december bootcamp 18 Dec 2112:54 PM things we fell unsure about... 1. what rule to use??? product quotient chain 2. finding

c3 december bootcamp

16Dec 21­9:27 AM

formula booklet

Page 17: c3 december bootcamp - NLCS Maths Department - Home · c3 december bootcamp 18 Dec 2112:54 PM things we fell unsure about... 1. what rule to use??? product quotient chain 2. finding

c3 december bootcamp

17Dec 21­12:20 PM

sin(2x)   ARG =

 2x, FUN = sin

ARG   make the

 arguments agre

e

FUN   make the

 functions agre

e

Page 18: c3 december bootcamp - NLCS Maths Department - Home · c3 december bootcamp 18 Dec 2112:54 PM things we fell unsure about... 1. what rule to use??? product quotient chain 2. finding

c3 december bootcamp

18Dec 21­12:54 PM

things we fell unsure about...1.  what rule to use??? product quotient chain

2. ­ finding domain and range

­ one to one, one to many, inverses...3. ­ differentiating exp and ln

4. ­ sketching exponentials and logs (with transformations)

5. ­ solving exp and ln questions

Page 19: c3 december bootcamp - NLCS Maths Department - Home · c3 december bootcamp 18 Dec 2112:54 PM things we fell unsure about... 1. what rule to use??? product quotient chain 2. finding

c3 december bootcamp

19Dec 21­12:56 PM

1. what rule to use??? product quotient chain

P

P

QP

Q

Q

inside function

P

P

Page 20: c3 december bootcamp - NLCS Maths Department - Home · c3 december bootcamp 18 Dec 2112:54 PM things we fell unsure about... 1. what rule to use??? product quotient chain 2. finding

c3 december bootcamp

20Dec 21­1:20 PM

2. finding domain, range, one­to­one...

Page 21: c3 december bootcamp - NLCS Maths Department - Home · c3 december bootcamp 18 Dec 2112:54 PM things we fell unsure about... 1. what rule to use??? product quotient chain 2. finding

c3 december bootcamp

21Dec 21­1:37 PM

natural domain = biggest possible domain

(what we've been doing!)

restricted domain 

­ because x is time so can't be ­ve, etc...

­ because we want to make f(x) one­to­one for inverses

memorise these three graphs

Page 22: c3 december bootcamp - NLCS Maths Department - Home · c3 december bootcamp 18 Dec 2112:54 PM things we fell unsure about... 1. what rule to use??? product quotient chain 2. finding

c3 december bootcamp

22Dec 21­1:54 PM

3. differentiating exp and ln

Page 23: c3 december bootcamp - NLCS Maths Department - Home · c3 december bootcamp 18 Dec 2112:54 PM things we fell unsure about... 1. what rule to use??? product quotient chain 2. finding

c3 december bootcamp

23Dec 21­2:01 PM

4. ­ sketching exponentials and logs 

(with transformations)

Page 24: c3 december bootcamp - NLCS Maths Department - Home · c3 december bootcamp 18 Dec 2112:54 PM things we fell unsure about... 1. what rule to use??? product quotient chain 2. finding

c3 december bootcamp

24Dec 21­2:06 PM

5. solving exp and ln questions

NEVER Ln 'every term' ONLY both sides.

Page 25: c3 december bootcamp - NLCS Maths Department - Home · c3 december bootcamp 18 Dec 2112:54 PM things we fell unsure about... 1. what rule to use??? product quotient chain 2. finding

c3 december bootcamp

25Dec 21­9:27 AM

Page 26: c3 december bootcamp - NLCS Maths Department - Home · c3 december bootcamp 18 Dec 2112:54 PM things we fell unsure about... 1. what rule to use??? product quotient chain 2. finding

c3 december bootcamp

26Dec 21­9:40 AM

Page 27: c3 december bootcamp - NLCS Maths Department - Home · c3 december bootcamp 18 Dec 2112:54 PM things we fell unsure about... 1. what rule to use??? product quotient chain 2. finding

c3 december bootcamp

27Dec 21­9:40 AM

Mark out of 25

Page 28: c3 december bootcamp - NLCS Maths Department - Home · c3 december bootcamp 18 Dec 2112:54 PM things we fell unsure about... 1. what rule to use??? product quotient chain 2. finding

c3 december bootcamp

28Dec 21­9:40 AM

Page 29: c3 december bootcamp - NLCS Maths Department - Home · c3 december bootcamp 18 Dec 2112:54 PM things we fell unsure about... 1. what rule to use??? product quotient chain 2. finding

c3 december bootcamp

29Dec 21­9:40 AM

Page 30: c3 december bootcamp - NLCS Maths Department - Home · c3 december bootcamp 18 Dec 2112:54 PM things we fell unsure about... 1. what rule to use??? product quotient chain 2. finding

c3 december bootcamp

30Dec 21­9:40 AM

Page 31: c3 december bootcamp - NLCS Maths Department - Home · c3 december bootcamp 18 Dec 2112:54 PM things we fell unsure about... 1. what rule to use??? product quotient chain 2. finding

c3 december bootcamp

31Dec 21­9:40 AM

Page 32: c3 december bootcamp - NLCS Maths Department - Home · c3 december bootcamp 18 Dec 2112:54 PM things we fell unsure about... 1. what rule to use??? product quotient chain 2. finding

c3 december bootcamp

32Dec 21­3:25 PM

Page 33: c3 december bootcamp - NLCS Maths Department - Home · c3 december bootcamp 18 Dec 2112:54 PM things we fell unsure about... 1. what rule to use??? product quotient chain 2. finding

c3 december bootcamp

33Dec 21­3:27 PM

Page 34: c3 december bootcamp - NLCS Maths Department - Home · c3 december bootcamp 18 Dec 2112:54 PM things we fell unsure about... 1. what rule to use??? product quotient chain 2. finding

c3 december bootcamp

34Dec 21­2:25 PM

Extra questions. Differentiating chain, product, quotient rules

Page 35: c3 december bootcamp - NLCS Maths Department - Home · c3 december bootcamp 18 Dec 2112:54 PM things we fell unsure about... 1. what rule to use??? product quotient chain 2. finding

c3 december bootcamp

35Dec 21­2:38 PM

Extra questions on transformations