precalc/calc ab

Question 1

zero factorial

Answer 1

1

Question 2

y=e^(mx) what kind of stretch/compression

Answer 2

horizontal compression

Question 3

(cis a)/(cis b)

Answer 3

cis (a-b)

Question 4

cis (a) x cis (b)

Answer 4

cis (a+b)

Question 5

lim x –> 0, ((sinx)/x)

Answer 5

1

Question 6

lim n –> ∞, (1+r/n)^n

Answer 6

e^r

Question 7

slope of y=msin(nx) at (0,0)

Answer 7

mn

Question 8

derivative of x^n

Answer 8

nx^(n-1)

Question 9

derivative of ln x

Answer 9

1/x

Question 10

derivative of a^x

Answer 10

a^x • ln a

Question 11

derivative of sin x

Answer 11

cos x

Question 12

derivative of cos x

Answer 12

-sin x

Question 13

derivative of tan x

Answer 13

sec^2 (x)

Question 14

product rule: derivative of y=f(x)•g(x)

Answer 14

f’(x)g(x) + g’(x)f(x)

Question 15

chain rule: derivative of y=f(g(x))

Answer 15

y=f’(g(x)) • g’(x)

Question 16

Quotient rule: derivative of y=f(x)/g(x)

Answer 16

[f’(x)g(x)-g’(x)f(x)]/(g(x))^2

Question 17

derivative of e^(ax)

Answer 17

ae^(ae)

Question 18

derivative of y=ax^2+bx+c

Answer 18

2ax+b

Question 19

derivative of y=mx+b

Answer 19

m

Question 20

derivative of y=arc sin x

Answer 20

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

Question 21

derivative of y=arc cos x

Answer 21

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

Question 22

derivative of y=arc tan x

Answer 22

1/(1+x^2)

Question 23

(r1 cis theta1)(r2 cis theta2)

Answer 23

r1r2 cis (theta 1 + theta 2)

Question 24

cis (-theta)

Answer 24

1/cis(theta)