UNIT 1 FORMULA

Question 1

Sin2X=

Answer 1

2sinxcosx

Question 2

cos2X=

Answer 2

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

Question 3

0! =

Answer 3

1

Question 4

(nr) =

Answer 4

r! (n - r)!

Question 5

Formula for binomial expansion in terms of n and r

Answer 5

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

Question 6

Product rule

Answer 6

f’(x) X g(x) + g’(x) X f(x)

Question 7

Quotient rule

Answer 7

g(x)^2

Question 8

cosecx =

Answer 8

sinx

Question 9

secx=

Answer 9

cosx

Question 10

cotx=

Answer 10

tanx

Question 11

tan^2x=

Answer 11

sec^2x-1

Question 12

dif of sinx

Answer 12

acosax

Question 13

dif of cosx

Answer 13

-asinax

Question 14

dif of tanx

Answer 14

asec^2ax

Question 15

dif of cosecx

Answer 15

-acosecax cotax

Question 16

dif of secx

Answer 16

asecax tanax

Question 17

dif of cotx

Answer 17

-acosec^2ax

Question 18

did of e^f(x)

Answer 18

f’(x) X e^f(x)

Question 19

dif of ln[f(x)]

Answer 19

f’(x) X 1/f(x)

Question 20

dif of log10x

Answer 20

xln10

Question 21

Integration of y=f’(x)/f(x)

Answer 21

y=ln[f(x)]

Question 22

sin^2x =

Answer 22

1/2 (1-cos2x)

Question 23

cos^2x =

Answer 23

1/2(1+cos2x)

Question 24

f’‘(x) >0

Answer 24

minimum

Question 25

f’‘(x)<0

Answer 25

maximum

Question 26

int of cos(ax + b) dx

Answer 26

1/a sin(ax +b) + c

Question 27

int of sin(ax + b) dx

Answer 27

-1/a cos(ax + b) +c

Question 28

int of e^(ax+b) dx

Answer 28

1/a e^(ax+b) + c

Question 29

int of sec^2(ax+b)dx

Answer 29

1/a tan(ax+b) + c

Question 30

Int of 1/(ax + b) dx

Answer 30

1/a ln(ax+b) + c