UNIT 1 FORMULA Flashcards
(30 cards)
1
Q
Sin2X=
A
2sinxcosx
2
Q
cos2X=
A
cos^2x-sin^2x. 1-2sin^2x. 2cos^2x-1
3
Q
0! =
A
1
4
Q
(nr) =
A
r! (n - r)!
5
Q
Formula for binomial expansion in terms of n and r
A
(nr) a^n-r X b^r
6
Q
Product rule
A
f’(x) X g(x) + g’(x) X f(x)
7
Q
Quotient rule
A
g(x)^2
8
Q
cosecx =
A
sinx
9
Q
secx=
A
cosx
10
Q
cotx=
A
tanx
11
Q
tan^2x=
A
sec^2x-1
12
Q
dif of sinx
A
acosax
13
Q
dif of cosx
A
-asinax
14
Q
dif of tanx
A
asec^2ax
15
Q
dif of cosecx
A
-acosecax cotax
16
Q
dif of secx
A
asecax tanax
17
Q
dif of cotx
A
-acosec^2ax
18
Q
did of e^f(x)
A
f’(x) X e^f(x)
19
Q
dif of ln[f(x)]
A
f’(x) X 1/f(x)
20
Q
dif of log10x
A
xln10
21
Q
Integration of y=f’(x)/f(x)
A
y=ln[f(x)]
22
Q
sin^2x =
A
1/2 (1-cos2x)
23
Q
cos^2x =
A
1/2(1+cos2x)
24
Q
f’‘(x) >0
A
minimum
25
f''(x)<0
maximum
26
int of cos(ax + b) dx
1/a sin(ax +b) + c
27
int of sin(ax + b) dx
-1/a cos(ax + b) +c
28
int of e^(ax+b) dx
1/a e^(ax+b) + c
29
int of sec^2(ax+b)dx
1/a tan(ax+b) + c
30
Int of 1/(ax + b) dx
1/a ln(ax+b) + c
