Derivatives
This is what the derivative represents for any point on a function.
What is the slope of the tangent line?
The meaning of an integral.
What is the anti-derivative?
What p'(t) represents
What is Velocity or v(t)
The theorem that states that on a continuous and differentiable function (a,b), the function must hit all y-values between f(a) and f(b).
What is IVT?
What the value of a limit represents.
What is the y-value the graph approaches as x approaches the listed value?
What is 6x2+2x+6?
The forgotten part of every anti-derivative.
What is +C.
What p"(t) represents
What is Acceleration or a(t)
The theorem that proves the equation for averaging any function on the differentiable interval (a,b).
What is the Mean Value Theorem?
This signifies a Horizontal Asymptote.
What is the value of the limit as x approaches positive or negative infinity?
This can be found at any point where f'(x)=0.
What is relative extrema?
The anti-derivative of 2x+1.
What is x2+x+C.
This happens to a particle's position when velocity is positive
What is increases
The theorem that provides the explanation for relative and absolute maxes and mins.
What is the Extreme Value Theorem?
This signifies a Vertical Asymptote.
What is when the value of the limit is positive or negative infinity?
This is how you find the slope of the normal line for a point on a function.
What is the opposite reciprocal of the slope of the tangent line?
The graphical approach to approximating the definite integral.
What are Riemann Sums?
You can tell if a graph of p(t)'s acceleration is positive or negative by looking for this.
What is concavity.
The applicability of Rolle's Theorem on the function f(x)=x2-4x.
What is Yes, it is applicable?
What has to be true for a limit to exist.
What is the value of the limit must be the same whether it's approached from the left or right?
The name for the values of x at which f'(x)=0.
What are critical numbers?
The four different kinds of Riemann Sums.
What are Left-Hand, Right-Hand, Midpoint, and Trapezoidal?
The equation representation for the average acceleration of a function on the interval [a, b].
What is v(a)-v(b) / a-b
These are the two theorems that require the function to be continuous and differentiable.
What are Rolle's Theorem and the Mean Value Theorem?
What Mrs. Johnson says must be kept through the whole limit calculation.
What is limit notation?