Derivative Rules
What is the product rule?
f'g+g'f
Derivative of sinx
cosx
What does the graph of the derivative describe?
It shows all the slopes of lines tangent to the original graph
What is the name of that guy who made the rule about limits that are 0/0
lhopital
What is the quotient rule?
f'g-g'f/ g2
Derivative of tanx
sec2x
What does it mean when f'(x)= 0
A maximum, minimum, or critical point
What does calculus mean in latin?
small stone
What is the derivative of e2x-3?
2ex
Derivative of cscx
-cscxcotx
How do you decided whether a critical point is a maximum or minimum?
Positive to negative = max; negative to positive =min
What is Nathalie's favorite thing to do?
Scare people, especially by making finals quite hard
How many pounds have I lost in 2.5 months?
20
Which cartoon is Nathalie's Favourite
Tom and Jerry
A :)
Why is the derivative of x 1?
the line y=x, the slope is always one
Write the chain rule
(f’ º g) × g’
Who does Nathalie Keep very busy with students in the HC?
Niki
How do you figure out when the original graph, f(x), is concave up?
When f''(x)>0
Is statistics real math?
no