Chapter 1 midterm terms

Question 1

What are the three checks for continuity?

Answer 1

1) f(a) exists
2) lim f(x) exists
X->a
3) lim f(x)=f(a)
x->a

Question 2

Mtan =

Answer 2

dy
—– of f(x)
dx

Question 3

How to find Velocity

Answer 3

d/ dt of the given position function, and then plug in t.

Question 4

Δs/Δt

Answer 4

Average rate of change of s, with respect to t.

Question 5

What are the rules for limits to infinity?

Answer 5

Denominator> numerator: limit= 0
Numerator >denominator: limit = infinity
Numerator = denominator: fraction of coefficients

Question 6

What is the definition of derivative?

Answer 6

Lim    F(x+h)-f(x)
h->0.       h

Question 7

Marginal cost:

Answer 7

dq

d
— (TC(q))
dq

Question 8

Marginal revenue:

Answer 8

dq

d
— (TC(q))
dq

Question 9

Total cost=

Answer 9

Average cost x quantity

Question 10

Marginal cost=

Answer 10

d
— (TC(q))
dq

Question 11

Product rule:

Answer 11

D/dx= f’(x) g(x) + f(x) g’(x)

Question 12

Quotient rule:

Answer 12

f’(x)g(x) - f(x)g’(x)
—————-——
g(x)^2

Question 13

Revenue=

Answer 13

Price x Quantity

Question 14

Marginal propensity to consume:

Answer 14

dc/dI

Question 15

Marginal propensity to save:

Answer 15

1- (dc/ dI)

Question 16

The chain rule:

Answer 16

dy dy du
— = — • —
dx du dx

Question 17

Marginal revenue product=

Answer 17

dr/dm

Question 18

Derivative of log

Answer 18

d/dx lnx = 1/x

Question 19

Change of base derivative

Answer 19

d/dx= lnx/lnb