C3 and C4 Flashcards
(18 cards)
1
Q
sin double angle formula
A
sin(2x)= 2sinx cosx
2
Q
cos double angle formula
A
cos(2x)= cos^2 x - sin^2 x
= 1 - 2sin^2 x
= 1 - 2cos^2 x
3
Q
tan double angle formula
A
tan(2x)= 2tanx / 1 - tanx
4
Q
y=e^x
A
dy=e^x
5
Q
y=lnx
A
dy=1/x
6
Q
y=sinx
A
dy=cosx
7
Q
y=cosx
A
dy= -sinx
8
Q
y=tanx
A
dy=sec^2 x
9
Q
y=cosecx
A
dy= -cosecx cotx
10
Q
y=secx
A
dy=secx tanx
11
Q
y=cotx
A
dy= -cosec^2x
12
Q
what does y=a f(x) look like
A
stretch vertically by scale factor a
x values stay the same
13
Q
what does y=f(ax) look like
A
stretch horizontally by scale factor 1/a
y values stay the same
14
Q
what does y= -f(x) look like
A
reflection in x axis
15
Q
what does y= f(-x) look like
A
reflection in y axis
16
Q
what does the modulus bracket outside mean
A
reflect in y axis
17
Q
what does the modulus bracket inside mean
A
select in x axis
18
Q
a^x differentiated is…
A
a^x ln(a)
