Derivative Rules
Trig Derivatives
Components of the Derivative
Hard Problems on Quizzes I Failed
Calculus Fun Facts
100

What is the product rule?

f'g+g'f

100

Derivative of sinx

cosx

100

What does the graph of the derivative describe?

It shows all the slopes of lines tangent to the original graph

100

F(x)= 2x3-3x2-12x+18, when is the graph decreasing and concave up?

(-1, .5)

100

What is the name of that guy who made the rule about limits that are 0/0

lhopital

200

What is the quotient rule?

f'g-g'f/ g2

200

Derivative of tanx

sec2x

200

What does it mean when f'(x)= 0

A maximum, minimum, or critical point

200

If f(x)= x2-4, and g is a differentiable function of x, what is the derivative of f(g(x))

2g'(x)

200

What does calculus mean in latin?

small stone

300

What is the derivative of ax?

ax x ln(a)

300

Derivative of cscx

-cscxcotx

300

How do you decided whether a critical point is a maximum or minimum?

Positive to negative = max; negative to positive =min

300
Differentiate: 3csc(5x^2)

I never got the right answer but you are right

300

What is Mrs. Matson's favorite thing to do?

Scare people, especially by making very hard quizzes

400

What is the derivative of logax?

1/x times 1/x

400

Derivative of tan-1x

1/(1+ x2)

400

What does it mean when f''(x)= 0

400


The limit does not exist

400

Why is the derivative of x 1?

the line y=x, the slope is always one

500

Write the chain rule

(f’ º g) × g’

500

Derivative of csc-1x

1/ (lxl ((x2-1)1/2)

500

How do you figure out when the original graph, f(x), is concave up?

When f''(x)>0

500

The one about buddy the elf

someone bring it up :)

500

Is statistics real math?

no