C3 and C4 Flashcards Preview

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Flashcards in C3 and C4 Deck (18)
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1

sin double angle formula

sin(2x)= 2sinx cosx

2

cos double angle formula

cos(2x)= cos^2 x - sin^2 x
= 1 - 2sin^2 x
= 1 - 2cos^2 x

3

tan double angle formula

tan(2x)= 2tanx / 1 - tanx

4

y=e^x

dy=e^x

5

y=lnx

dy=1/x

6

y=sinx

dy=cosx

7

y=cosx

dy= -sinx

8

y=tanx

dy=sec^2 x

9

y=cosecx

dy= -cosecx cotx

10

y=secx

dy=secx tanx

11

y=cotx

dy= -cosec^2x

12

what does y=a f(x) look like

stretch vertically by scale factor a
x values stay the same

13

what does y=f(ax) look like

stretch horizontally by scale factor 1/a
y values stay the same

14

what does y= -f(x) look like

reflection in x axis

15

what does y= f(-x) look like

reflection in y axis

16

what does the modulus bracket outside mean

reflect in y axis

17

what does the modulus bracket inside mean

select in x axis

18

a^x differentiated is...

a^x ln(a)