Derivatives
Integrals
Limits
Random Rules
Trigonometric Functions
100
the derivative of position
what is velocity
100
The integral of velocity
what is position?
100
describes how a function behaves near a point.
what is a limit?
100
mathematical theorem that allows evaluating limits of indeterminate forms using derivatives. Application (or repeated application) of the rule often converts an indeterminate form to an expression that can be easily evaluated by substitution.
what is L'hospitals rule?
100
cos of 0
what is 1?
200
The derivative of velocity
what is acceleration
200
The integral of e^x
what is e^x+c
200
lim x->2 (x^2-4)
what is 2?
200
The Theorem that states if a real-valued function
What is the Extreme Value Theorem?
200
sin of 2pi
what is 0?
300
the sign of this is dx
what is derivative.
300
The integral of 2
2x+c
300
All numbers that lead up to the function value by getting closer and closer to the value.
what is infinitely close?
300
The Theorem that is related to the Mean Value Theorem and calls for when F(x) is continuous on the closed interval [a,b] and has a derivative for the open interval (a,b), and F(b)=F(a), then there exists a value of F'(c) which equals = 0
What is the Rolle's Theorem?
300
The derivative of cosx
what is -sinx?
400
The derivative of 4x^2
what is 4x
400
The integral of 4x
8x^2+c
400
concept of something that is unlimited, endless, without bound
what is infinity?
400
Theorem that allows for the integral of F'(x), from the interval [a,b] to be equal to F(b)-F(a).
What is the Fundamental Value Theorem of Calculus?
400
The derivative of tanx
what is sec^2x?
500
The opposite of an integral
what is a derivative?
500
The oppositive of a derivative
what is an integral?
500
concept of something that is unlimited, endless, without bound in the negative direction
what is negative infinity?
500
The Theorem that allows for when F(x) is continuous on the closed interval [a,b] and has a derivative for the open interval (a,b), F'(c) is approximately equal to =
F(b)-F(a)/b-a
What is the Mean Value Theorem?
500
the derivative of sin
what is cos?