Show:
Differentiation 1
Differentiation 2
f' or f''
Inflection Pts
Misc
100
Find the derivative of f(x) = (3x^2)/2.
What is 3x?
100
What is the derivative of sin(x), cos(x), and tan(x)?
What is d/dx sin(x)=cos(x) d/dx cos(x)=-sin(x) d/dx tan(x)= (sec^2)(x)
100

Find any interval(s) of increase:

y = -1/ (x - 2)

What is:  (-inf, 2), (2, inf)?

100

Find the x-coordinate(s) of all inflection point(s) of:

y = -x^3 + 3x^2 + 2

What is x=1 ?

100
Name Mr. Ruml's favorite college or university.
What is Michigan?
200
y=3x+xtanx. Find y'.
What is 3+x (sec^2)(x)+tan(x) ?
200

Find y' if y=2sin(5x)-tan(x).

What is: 10cos(x)- (sec^2)(x) ?

200

Find any interval(s) of increase:

y= -(7x - 35)^(2/3)

What is (-inf, 5)?

200

Find the x-coordinate(s) of all inflection point(s) of:

y = x / (x + 3)

What is none?

200

How many points did Michael Jordan score in his first NBA game?

What is 16?

300

Find the slope of: y= (5/3)x3 -3x2 - (1/ x2), if x = 1

What is 1?

300

y=(cos(x))/(1+sin(x)). Find dy/dx.

What is -1/(1+sin(x)) ?

300

Find any interval(s) of increase:

y= x^3 - 4x^2 + 5x + 6

What is: (-inf, 1) and (5/3, inf)?

300

Find the intervals of concave up of:

y= x^3 / (x^2 - 4)

What is: (-2, 0), (2, inf)?

300

Name "Kramer's" first name on the show , Seinfeld.

What is "Cosmos" Kramer?

400

Find the derivative of f(x)= ln( (x^3) +3(x^2) +7)

What is (3 (x^2) +6x)/ ((x^3) +3(x^2) +7)?

400
Find the slope at (2,1) using implicit differentiation -12x = (2y^4) + 3x(y^2)
What is (-3/4) ?
400

Find any interval(s) of increase:

y = -x^2 / (4x + 8)

What is: (-4, -2) , (-2, 0)?

400

Find the intervals of concave up of:

y= (7x^2 - 7) / x^3


What is: 

(-sqrt6, 0), (sqrt6, inf)

400
What in the body attach muscles to bone.
What are tendons?
500

Find the derivative of f(x)= tan (3x).

What is 3(sec ^2)(3x)?

500

Find dy/dx for the following function: (x^2)(y^3) + (y^2) + 3x = y

What is (-3 -2xy^3) / (3(x^2)(y^2) +2y - 1)?

500

Find any interval(s) of increase: y= 2sin (2x), 

[-pi, pi].

What is:  (-.25pi, .25pi)?

500

Find the intervals of concave up of:

y= 1/5 (x + 4)^(5/3) -2(x + 4)^(2/3) - 1

What is: (-6, -4), (-4, inf)?

500

Name the 2 major league baseball, 2 NFL, and the 1 NHL team in Ohio.

What is Who are: (Reds & Guardians), (Bengals & Browns) and Blue Jackets