definitions
define the word derivative
what is the slope of a function
What is the derivative of a constant?
What is 0.
Where does a maximum or minimum occur?
Where is when f'(x) = 0 or is undefined.
Given f'(x) = 3(x+3)(x−1) where is f(x) increasing?
What is (-inf,-3),(1,inf)
what is my name?
Who is Ella
define a critical point
What is a place where the derivative of a function is either zero or undefined.
What is the derivitive of cos(x)
What is -sin(x)
Find a max or min of y=x2 - x
what is min at x=1/2
Given that a function has one maximum at x = 9. Where is the function increasing?
What is (-inf, 9)
What school do I go to?
What is Marquette University
define what it means for a function to be increasing or decreasing
What is slope is positive for increasing, and negative for decreasing?
Find the derivative of 5x6 -9x3+100x-8
What is 30x5 -27x2+100
Find a max or min of y= x3 -9x2+24x
Where is max at x=2, min at 𝑥=4
Givdn f(x) = xe-x where is f(x) increasing?
What is (-inf, 1)
What grade am in?
What is a Junior.
Where can f(x) change direction?
What is at a critical point.
Find the derivative of ln(x2-x)
What is 1/(x2-x) * 2x-1
Find a maximum or minimum of 𝑓(𝑥)=(5−𝑥)/(𝑥+2)
What is there are none!
Where is f(x) = x4 -8x2 increasing?
What is on (−2,0) and (2,+ ∞)
Where am I from?
What is Illinois.
What is the definintion of inflection point?
What is a point where the concavity of f(x) changes.
find the derivative of x2e-x
What is x(2-x)e-x
Find the VALUE at which y= x3 -9x2+24x has a maximum or minimum
max at (2,20) min (4,16)
Where is f(x) = (x-x2)/(1+ 8x2) decreasing?
−∞<x<−1/2, 1/4<x<∞
What is 43.