# Study sets matching "ap calculus"

Study sets

Diagrams

Classes

Users

Limits Definition

Computing Limits Theorems

Squeeze Theorem

One-Sided Limits

lim x→a ƒ(x) = L if for every ε > 0 there is a δ > 0 ... such tha…

1) lim x→a xⁿ = aⁿ... If lim x→a ƒ(x) = L and lim x→a g(x) = K t…

If lim x→a ƒ(x) = lim x→a h(x) = L ... and ƒ(x) ≤ g(x) ≤ h(x) the…

lim x→a+ ƒ(x) = L if for every ε > 0 ... there is a δ > 0 so that…

Limits Definition

lim x→a ƒ(x) = L if for every ε > 0 there is a δ > 0 ... such tha…

Computing Limits Theorems

1) lim x→a xⁿ = aⁿ... If lim x→a ƒ(x) = L and lim x→a g(x) = K t…

Mean Value Theorem

Rolle's Theorem

Extreme Value Theorem

Critical Number

If a function f is continuous on the closed interval [a,b] and…

If f is a continuous on the closed interval [a,b] and differen…

A continuous function on a closed interval [a,b] must have bot…

Let f be defined at c. If f'(c) = 0 or if f is not differentia…

Mean Value Theorem

If a function f is continuous on the closed interval [a,b] and…

Rolle's Theorem

If f is a continuous on the closed interval [a,b] and differen…

Fibonacci

Gauss

Euler

Einstein

This ODP travelled the Mediterranean extensively as their fath…

The "Prince" of mathematics had illiterate parents

Had 13 children of which only 5 survived

Most influencial physicist of the 20th century

Fibonacci

This ODP travelled the Mediterranean extensively as their fath…

Gauss

The "Prince" of mathematics had illiterate parents

Intermediate Value Theorem

Average Rate of Change

Instantenous Rate of Change

Formal definition of derivative

If f(1)=-4 and f(6)=9, then there must be a x-value between 1…

Slope of secant line between two points, use to estimate insta…

Slope of tangent line at a point, value of derivative at a poi…

Intermediate Value Theorem

If f(1)=-4 and f(6)=9, then there must be a x-value between 1…

Average Rate of Change

Slope of secant line between two points, use to estimate insta…

Intermediate Value Theorem

Average Rate of Change

Instantenous Rate of Change

Formal definition of derivative

If f(1)=-4 and f(6)=9, then there must be a x-value between 1…

Slope of secant line between two points, use to estimate insta…

Slope of tangent line at a point, value of derivative at a poi…

limit as h approaches 0 of [f(a+h)-f(a)]/h

Intermediate Value Theorem

If f(1)=-4 and f(6)=9, then there must be a x-value between 1…

Average Rate of Change

Slope of secant line between two points, use to estimate insta…

Intermediate Value Theorem

Average Rate of Change

Instantenous Rate of Change

Formal definition of derivative

If f(1)=-4 and f(6)=9, then there must be a x-value between 1…

Slope of secant line between two points, use to estimate insta…

Slope of tangent line at a point, value of derivative at a poi…

limit as h approaches 0 of [f(a+h)-f(a)]/h

Intermediate Value Theorem

If f(1)=-4 and f(6)=9, then there must be a x-value between 1…

Average Rate of Change

Slope of secant line between two points, use to estimate insta…

Intermediate Value Theorem

Average Rate of Change

Instantenous Rate of Change

Formal definition of derivative

If f(1)=-4 and f(6)=9, then there must be a x-value between 1…

Slope of secant line between two points, use to estimate insta…

Slope of tangent line at a point, value of derivative at a poi…

limit as h approaches 0 of [f(a+h)-f(a)]/h

Intermediate Value Theorem

If f(1)=-4 and f(6)=9, then there must be a x-value between 1…

Average Rate of Change

Slope of secant line between two points, use to estimate insta…

Continuous Function

A function y=f(x) is continuous at an i…

A function y=f(x) is continuous at a le…

A function y=f(x) is continuous at a ri…

Any function whose graph can be sketched in one continuous mot…

Limit of f(x) as x approaches c = f(c)

Limits of f(x) as x approaches a from the right =f(a)

Limits of f(x) as x approaches b from the left =f(b)

Continuous Function

Any function whose graph can be sketched in one continuous mot…

A function y=f(x) is continuous at an i…

Limit of f(x) as x approaches c = f(c)

Continuous Function

A function y=f(x) is continuous at an i…

A function y=f(x) is continuous at a le…

A function y=f(x) is continuous at a ri…

Any function whose graph can be sketched in one continuous mot…

Limit of f(x) as x approaches c = f(c)

Limits of f(x) as x approaches a from the right =f(a)

Limits of f(x) as x approaches b from the left =f(b)

Continuous Function

Any function whose graph can be sketched in one continuous mot…

A function y=f(x) is continuous at an i…

Limit of f(x) as x approaches c = f(c)

Average Rate of Change

Instantaneous Rate of Change

Intermediate Value Theorem

Continuity

the amount of change divided by the time it takes

the instantaneous speed at any single point in time

A function that takes on two values without taking on all the…

implies the limit exist at that point. However, the limit exis…

Average Rate of Change

the amount of change divided by the time it takes

Instantaneous Rate of Change

the instantaneous speed at any single point in time

LRAM

RRAM

MRAM

Definite Integral

evaluating a function at the left-hand endpoint

evaluating a function at the right-hand endpoint

evaluating a function at the mid-point (between the right- and…

Let f be continuous on [a,b], and let [a,b] be partitioned int…

LRAM

evaluating a function at the left-hand endpoint

RRAM

evaluating a function at the right-hand endpoint

LRAM

RRAM

MRAM

Definite Integral

evaluating a function at the left-hand endpoint

evaluating a function at the right-hand endpoint

evaluating a function at the mid-point (between the right- and…

Let f be continuous on [a,b], and let [a,b] be partitioned int…

LRAM

evaluating a function at the left-hand endpoint

RRAM

evaluating a function at the right-hand endpoint