Terms to Remember

Question 1

0=

Answer 1

0 degrees

Question 2

Limit Definition of a Derivative

Answer 2

f(x+h)-f(x)/h

Question 3

Implicit Differentiation

Answer 3

Use dy/dx and change everything to its derivative and then solve for dy/dx

Question 4

Antiderivative (rule you can’t forget)

Answer 4

Add C to the end

Question 5

Minimize cost

Answer 5

Use area formulas to create an equation, then plug in costs for f^I to find the total cost.

Question 6

Cos(0)

Answer 6

1

Question 7

Sin(0)

Answer 7

0

Question 8

To find domain…

Answer 8

Consider the following: Does x go to infinity as you plug in random numbers?

Question 9

To find critical points…

Answer 9

Look at derivative, find x-intercepts

Question 10

To find inflection points…

Answer 10

Set the second derivation equal to 0, check the sign on both ends of the point, if it changes signs then it is considered an inflection point

Question 11

Mean Value Theorem

Answer 11

f(b)-f(a)/b-a

Question 12

1/0=

Answer 12

DNE

Question 13

Cos=

Answer 13

X

Question 14

Sin=

Answer 14

Y

Question 15

π=

Answer 15

180 degrees

Question 16

2π=

Answer 16

360 degrees

Question 17

π/2=

Answer 17

90 degrees

Question 18

3π/2=

Answer 18

270 degrees

Question 19

Tan=

Answer 19

Sin/Cos

Question 20

Product log rule

Answer 20

Logbmn=logbm+logbn

Question 21

Quotient log rule

Answer 21

Logbm/n=logbm-logbn

Question 22

Power log rule

Answer 22

Logbmn=nlogbm

Question 23

Change of base log rule

Answer 23

Logab=(logcb)/(logca)