Module 3 formulas

Question 1

(f^-1)(d/dx)

Answer 1

1/f’(f^-1(a))

Question 2

log_a(x`)

Answer 2

1/x(lna)

Question 3

a^x

Answer 3

a^x*lna

Question 4

newtons law of cooling

Answer 4

Temp(after)=(Inital-surrounding)e^(growthtime)+surrounding

Question 5

Compound Intrest

Answer 5

Future=Initial(1+Intrest/Cpoumpounded)^(time*compounded)

Question 6

Exponential growth/decay

Answer 6

Future=Initiale^(ratetime)

Question 7

arcsin

Answer 7

1/sqrt(1-x^2)

Question 8

arccos

Answer 8

-1/sqrt(1-x^2)

Question 9

arctan

Answer 9

1/(1+x^2)

Question 10

arccsc

Answer 10

-1/x*sqrt(x^2-1)

Question 11

arcsec

Answer 11

1/x*sqrt(x^2-1)

Question 12

arccot

Answer 12

-1/(1+x^2)

Question 13

Tier 1 L’H

Answer 13

0/0 or inf/inf

Question 14

Tier 2 L’H

Answer 14

inf*o

Question 15

Tier 3 L’H

Answer 15

inf-inf, 0^0, inf^0, 1^inf