Pop quiz

Question 1

D/dx k =

Answer 1

0

Question 2

D/dx X^n=

Answer 2

N*x^n-1

Question 3

D/dx K*f(x)

Answer 3

K*f prime (x)

Question 4

D/dx F(x)+-g(x)

Answer 4

F prime of x +- g prime of x

Question 5

D/dx E^x

Answer 5

e^x

Question 6

D/dx Sinx =

Answer 6

Cosx

Question 7

Cosx

Answer 7

-sinx

Question 8

tanx

Answer 8

sec2x

Question 9

cotx

Answer 9

-csc2x

Question 10

secx

Answer 10

(secx)(tanx)

Question 11

cscx

Answer 11

-cscxcotx

Question 12

Product rule

Answer 12

Uv+uV

Question 13

Quotient Rule

Answer 13

Uv-uV/v2

Question 14

F prime of x

Answer 14

lim as h-0
F(x+h)-f(x)/h

Question 15

Finding the equation of a tangent line

Answer 15

Y = y1+m(x-x1)
Find the points and the slope using the derivative, and then add the approximate two X do not have to simplify

Question 16

Analyze graphs for derivatives

Answer 16

All you have to do is find the slope of the line the point is asked if it is a corner the slope is undefined

Question 17

Information on motion

Answer 17

Position is F of X,
velocity is F prime of X,
acceleration is F double prime of X, and speed is the absolute value of velocity

Question 18

Find all the motion stuff at X equals a number

Answer 18

Plug number in to equations

Question 19

Find times when the particles stopped

Answer 19

set velocity equation equal to 0

Question 20

Speed of particle and why

Answer 20

If velocity and acceleration are the same sign then it is speeding up but if they are opposite signs it is slowing down

Question 21

Find the distance traveled from x to y

Answer 21

X(x)
X (First time stopped)
X(Second time stopped)
X(y)
find difference between each one then add it all together!!