Unit 6 Formulas

Question 1

d/dx(sinx)

Answer 1

cosx

Question 2

d/dx(cosx)

Answer 2

-sinx

Question 3

d/dx(tanx)

Answer 3

sec^2x

Question 4

d/dx(secx)

Answer 4

secx tanx

Question 5

d/dx(cscx)

Answer 5

-cscx cotx

Question 6

d/dx(cotx)

Answer 6

-csc^2x

Question 7

d/dx(sin inverse x)

Answer 7

1/sq rt 1-x^2

Question 8

d/dx(cos inverse x)

Answer 8

-1/sq rt 1-x^2

Question 9

d/dx(tan inverse x)

Answer 9

1/ 1+ x^2

Question 10

d/dx (a^x)

Answer 10

a^x ln(a)

Question 11

d/dx(e^x)

Answer 11

e^x

Question 12

d/dx(lnx)

Answer 12

1/x

Question 13

integral of a^x dx

Answer 13

a^x/ln(a) + C

Question 14

integral of sinx dx

Answer 14

-cosx + C

Question 15

integral of cosx dx

Answer 15

sinx + C

Question 16

integral of sec^2x dx

Answer 16

tanx + C

Question 17

integral of csc^2x dx

Answer 17

-cotx + C

Question 18

Integral of sec(x)tan(x) dx

Answer 18

secx + C

Question 19

integral of csc(x)cot(x0 dx

Answer 19

-cscx + C