UNIT 1 FORMULA Flashcards Preview

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Flashcards in UNIT 1 FORMULA Deck (30)
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1

Sin2X=

2sinxcosx

2

cos2X=

cos^2x-sin^2x. 1-2sin^2x. 2cos^2x-1

3

0! =

1

4

(nr) =

n!
----------
r! (n - r)!

5

Formula for binomial expansion in terms of n and r

(nr) a^n-r X b^r

6

Product rule

f'(x) X g(x) + g'(x) X f(x)

7

Quotient rule

f'(x) X g(x) - g'(x) X f(x)
-------------------------------
g(x)^2

8

cosecx =

1
----
sinx

9

secx=

1
---
cosx

10

cotx=

1
----
tanx

11

tan^2x=

sec^2x-1

12

dif of sinx

acosax

13

dif of cosx

-asinax

14

dif of tanx

asec^2ax

15

dif of cosecx

-acosecax cotax

16

dif of secx

asecax tanax

17

dif of cotx

-acosec^2ax

18

did of e^f(x)

f'(x) X e^f(x)

19

dif of ln[f(x)]

f'(x) X 1/f(x)

20

dif of log10x

1
------
xln10

21

Integration of y=f'(x)/f(x)

y=ln[f(x)]

22

sin^2x =

1/2 (1-cos2x)

23

cos^2x =

1/2(1+cos2x)

24

f''(x) >0

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