Formula Quiz

Question 1

limit from the left of f(x) as x approaches a

Answer 1

lim x-> a- f(x)

Question 2

limit from the right of f(x) as x approaches a

Answer 2

lim x-> a+ f(x)

Question 3

0/#

Answer 3

0

Question 4

/0

Answer 4

undefinded

Question 5

formal definition of the derivative

Answer 5

lim h-> 0 f(x+h)-f(x)/ h

Question 6

alternative form of the derivative

Answer 6

lim x-> c f(x)-f(c)/x-c

Question 7

constant rule

Answer 7

d/dx [c]=0

Question 8

chain rule

Answer 8

d/dx [f(g(x))]=f’(g)*g’

Question 9

product rule

Answer 9

d/dx [fg]= f’g+g’*f

Question 10

quotient rule

Answer 10

d/dx [f/g] = gf’ - fg’/ g^2

Question 11

where does the limit not exist

Answer 11

Jumps
Oscillation
Infinity

Question 12

vertical asymptotes

Answer 12

denominator cannot = 0

Question 13

horizontal asymptotes

Answer 13

look both ways (limit at - infinity and + infinity)

Question 14

equation of the tangent line

Answer 14

y-y1=m (x-x1)

Question 15

Limits at infinity B/S

Answer 15

DNE

Question 16

Limits at infinity S/B

Answer 16

0

Question 17

Limits at infinity S/S

Answer 17

fraction

Question 18

d/dx (ln u)

Answer 18

u’/u

Question 19

d/dx (e^u)

Answer 19

u’ * e^u

Question 20

d/dx (a^u)

Answer 20

ln (a) * u’ *a^u

Question 21

inverse funtions of g’(x)

Answer 21

f(x)= function
g(x)= inverse

g’(x)=1/ f’(g(x))

Question 22

graph y=e^x

Answer 22

graph goes through 1 at the y axis and goes in a curves like up to the right and down to the left (horizontal line)

Question 23

e^0=

Answer 23

1

Question 24

graph y=ln(x)

Answer 24

graph goes through 1 on the x axis and goes up to the right and down to the left along the y axis but not touching it

Question 25

d/dx x^n

Answer 25

nx^n-1