Test 3

Question 1

Derivative of tan(x)

Answer 1

Sec^2 (x)

Question 2

Derivative of sec(x)

Answer 2

Sec(x)tan(x)

Question 3

Derivative cos(x)

Answer 3

-sin(x)

Question 4

Derivative cot(x)

Answer 4

-csc^2(x)

Question 5

Derivative csc(x)

Answer 5

-csc(x)cot(x)

Question 6

Pythagorean identity

Answer 6

Sin^2 + cos^2 = 1

Question 7

Derivative of sin(x)

Answer 7

Cos(x)

Question 8

Any derivatives that begin with c are all

Answer 8

Negative

Question 9

Reciprocal identity sinx

Answer 9

1/cscx

Question 10

Reciprocal identity of cosx

Answer 10

1/secx

Question 11

Recripical identity of tanx

Answer 11

Sinx/cosx

1/cotx

Question 12

Reciprocal identity cotx

Answer 12

Cosx/sinx

1/tanx

Question 13

Reciprocal identity of cscx

Answer 13

1/sinx

Question 14

Reciprocal identity secx

Answer 14

1/cosx

Question 15

Linear approximation

Answer 15

L(x) = f(a) + f^1 (a)* (x-a)

Question 16

S(t)

Answer 16

Position function

Question 17

S^1(t)

Answer 17

Velocity function

Question 18

S^11(t)

Answer 18

V^1(t)

a(t) acceleration function

Question 19

Average velocity

Answer 19

Delta s / delta t

Change in position / change in time

Question 20

Instantaneous velocity

Answer 20

?v^1(t)

Question 21

Initial height

Answer 21

Plug 0 in for s

Question 22

Initial velocity

Answer 22

Set v = 0

Question 23

Maximum height

Answer 23

Find time by setting velocity equation equal to 0

Then

Find distance by plugging in to s(t) equation

Question 24

When does the ball hit the ground

Answer 24

S(t) = 0

Question 25

What is velocity when ball hits ground

Answer 25

V(# of seconds)

Question 26

How to tell when something is speeding up

Answer 26

If a(t) and v(t) have the same signs, it’s speeding up