The The Limit, as delta x approaches 0, of f of x plus delta x minus f of x divided by delta x.
Surface area ( distance squared)
meters per second
3x squared
(n)a(x) to the (n-1) power
meters squared
2x
the pool is leaking at a rate of 2000 gallons per hour
m
Find f '(a), or the slope of the tangent line that touches the curve at ( a, f(a) )
A Limit
Acceleration measured in distance per time squared
the rate is 79 (cents per notebook)
velocity in meters per second
A limit from the left, a limit from the right, and the total or combined limit.
meters squared per second.
The rate is velocity in meters per second.
the rate is 10 ( % per year)
When the limit from the left is equal to the limit from the right.
The derivative
Direct Substitution and Algebraic Manipulation
The point of tangency.
Continuous function
The domain
Vertical Asymptote
What's the idea that you can get close to something without actually reach it?
What is the derivative of f(x) = x cubed ?
What is the derivative of a(x) to the n power?
What is meters times meters?
How can you find the slope of a curved line at a point where x = a
What is the The Limit, as delta x approaches 0, of f of x plus delta x minus f of x divided by delta x.
What is volume (distance cubed) divided by distance yield?
What is meters divided by seconds?
All the different values that x can take on of f(x).
If the pool is full at 10,000 gallons now, and then 2 hours later it has only 6,000 gallons. Describe what is occurring at what rate? (include units)?
What are the 3 types of limits?
A position function, f(x) = x squared. f(x) is measured in meters. x is measured in seconds. What does the rate represent and what are the units
What is the rate of change of the velocity with respect to time including units?
When does a total limit exist?
What is the derivative of y=mx+b ?
What is acceleration in meters per second squared times time in seconds (include units in answer??
What is the definition of the derivative in limit form?
What you get on a graph of f(x) when the denominator of f(x) goes to 0?
What do you call a graph that you can completely draw without lifting your pencil from the paper?
The point where the tangent line touches the curve.
If the price marked on the note book is 79 cents, and you by 10 for $7.90. What is the rate and the units of the rate?
If you borrow $100 at 10% interest, you pay back $110 after 1 year. What is the rate and the units of the rate?
What are the units of f ' (x), the derivative with respect to time, when f(x) is measured in meters squared?
What are two methods of finding a limit?
What is the derivative of f(x) = x squared ?
