Limit to Win it
Derivatives Rule!
To Be Continued
Name That Function
Wild Card
100
lim x2
x->4
What is 16? (Plug in)
100
Derivatives Rule 100
What is the constant rule? (Derivative of a constant is always 0)
100
y = x2 - 14x + 1
Where is this continuous?
Continuous everywhere (xeR)
100
What is y = x? / What is a linear function ?
100
The equation of a line (Slope-Intercept form)
What is y = mx + b
200
What does it mean if a limit is in "indeterminate form"?
0/0 or inf/inf
200
Derivatives Rule 200
What is the power rule?
200
y = 3/x
Where is this continuous?
Continuous everywhere, except where x = 0 (xeR, x ≠ 0)
200
Name That Function 200
What is a quadratic function / What is y = x2 ?
200
A relation that assigns exactly one output (y value) to each input (x value)
What is a function?
300
How do you evaluate a limit where x approaches infinity?
Divide by highest power, terms like 4/x will go to zero, then directly evaluate
300
Derivatives Rule 300
What is the product rule?
300
y = 426/x-3
Where is this continous?
Continuous everywhere (xeR) except where x = 3
300
Name That Function 300
What is the absolute value function / What is y = |x|?
300
Name one of the two people commonly credited with "inventing" calculus
Who is Sir Isaac Newton and/or who is Gottfried Leibniz?
400
What does it mean if a limit does not exist?
Left hand and right hand limits do not agree
400
Derivatives Rule 400
What is the quotient rule?
400
y = 182x43 + 9x20 + 170x12 + 8x11 + 432
Where is this continuous?
Continuous everywhere (xeR)
400
Name That Function 400
What is y = 1/x or what is the rational function?
400
Pi's distant cousin, this irrational constant is equal to approximately 2.7128
What is e? / What is Euler's number?
500
What is the limit definition of the derivative?
lim (f(x+h) - f(x))/h
h->0
500
Derivatives Rule 500
What is the chain rule?
500
y = √ x
Where is this continuous?
Continuous everywhere x≥0
500
Name That Function 500
What is y = sin(x) or what is the sine function?
500
If 23 = 8, then 3 is the ___ of 8 (base 2)
What is the logarithm?