unit 2 test

Question 1

FIND HOW TO FIND DERIVATIVE OF GRAPH

For example f’(2)

Answer 1

Use slope

Find slope on graph at f(2)
Then find derivative if while function(use rules)
Then plug in value if x which is 2 into f(x) and value of g’(x) which si the slope for f’(x)

Question 2

velocity moves which directions

which positive which negative

Answer 2

left to right

left negative right post i’ve

Question 3

acceleration moves which directions

which positive which negative

Answer 3

up down

increasing decreasing

Question 4

the speed of a particle is increasing or accelerating if

Answer 4

the velocity and acceleration have the same sign

Question 5

what is speed

Answer 5

the absolute value of velocity

always positive

Question 6

find all t for which the particle is moving right

Answer 6

find derivative of position function to find velocity

solve for t

turn the solutions into intervals

ex. t= 0, t= 3

interval [0,3) (3,infinity)

then choose a pt in interval and plug into v(t)
see if positive or negative (positive means moving it the right)

Question 7

when to use brackets

Answer 7

if greater than ir equal to

AKA ENDPOINT

Question 8

always use parentheses for

Answer 8

infinity

Question 9

find all t for velocity increasing

means find the…

Answer 9

acceleration

do same as (find particle movin to right) velocity

Question 10

find all t for which speed of particle is increasing justify

check if v(t) and a(t) are same sign

Answer 10

plug in number for v(t) and for a(t) if some sign then the particle is increasing

Question 11

circumference of a circle

Answer 11

pi (d)

Question 12

area if a circle

Answer 12

(pi)r^2

Question 13

diameter of circle

Answer 13

2r

Question 14

solving related rate problems

Answer 14

write down given, find, and equation

draw diagram if needed!

the rate given is the given

you are trying to find dR/dt when BLANK

equation is based on shape in word problem

Question 15

what to differentiate related rates

Answer 15

any rate that cna chnage in the word problem/equation

Question 16

when doing related rates write down

Answer 16

given
find
equation

Question 17

what does the given have

Answer 17

the rate listed in the word problem with respect to time

Question 18

área circle

Answer 18

pi(r)^2

Question 19

are triangle

Answer 19

1/2bh

Question 20

área rectangle

Answer 20

l(w)

Question 21

área square

Answer 21

s^2

Question 22

área trapezoid

Answer 22

b1+b2/2

Question 23

volume cylinder

Answer 23

pi(r)^2(h)

Question 24

volume cone

Answer 24

1/3pi(r)^2h

Question 25

what to look out for related rates with triangles

Answer 25

similar triangles SOC CAH TOA pythagorean theorem

Question 26

Find the instantáneous rate of change of f’ means

Answer 26

Find the derivative if f’ AKA Find f’’

Question 27

Units for f’’ in millimeters

Answer 27

Minutes per milliliter per milliliter

Question 28

Instantaneous rate of change

Answer 28

Find derivative

Question 29

Find derivative on graph at certain point

Answer 29

Equal to finding the slope at that certain point

Question 30

For what value is the object at rest

Answer 30

Find position function or f’(x) or s’(t)

Question 31

When finding the average on an interval Velocity for example, use what function Acceleration for example use what function?

Answer 31

Position function Velcoty function

Question 32

In lhopsitals rule you don’t use what rule

Answer 32

Quotient rule

Question 33

How to: find instantaneous rate if change at (1,1) for x+2y -y =2

Answer 33

Find derivative then plug in values into derivative but like average rate of change f(b)-f(a)/b-a

Question 34

Go through AB CALCULUS OATH TO A 5 PROBLEMS

Answer 34

DO IT NOWWW

Question 35

inverse of g’(x) is

Answer 35

1/f’(g(x)