# Study sets matching "ap calculus"

Study sets

Diagrams

Classes

Users

Derivative

Implicit differentiation

tangent

Secant

A function which gives the slope of a curve; that is, the slop…

The process of finding the derivative of a dependent variable…

A straight line or plane that touches a curve or curved surfac…

A secant is a line that intersects a circle at two points.

Derivative

A function which gives the slope of a curve; that is, the slop…

Implicit differentiation

The process of finding the derivative of a dependent variable…

Derivative

Implicit differentiation

tangent

Secant

A function which gives the slope of a curve; that is, the slop…

The process of finding the derivative of a dependent variable…

A straight line or plane that touches a curve or curved surfac…

A secant is a line that intersects a circle at two points.

Derivative

A function which gives the slope of a curve; that is, the slop…

Implicit differentiation

The process of finding the derivative of a dependent variable…

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…

End behavior

Exponential Decay

Exponential Growth

Limit

The appearance of a graph as it is followed farther and farthe…

A model for decay of a quantity for which the rate of decay is…

This model is used for such phenomena as inflation or populati…

The value that a function or expression approaches as the doma…

End behavior

The appearance of a graph as it is followed farther and farthe…

Exponential Decay

A model for decay of a quantity for which the rate of decay is…

Limit Definition of Derivative

Alternate Definition of Derivative

limit as x approaches 0: sinx/x

limit as x approaches 0: ... 1-cosx/x

limit (as h approaches 0)= F(x+h)-F(x)/h

limit (as x approaches a number c)=... f(x)-f(c)/x-c x≠c

1

0

Limit Definition of Derivative

limit (as h approaches 0)= F(x+h)-F(x)/h

Alternate Definition of Derivative

limit (as x approaches a number c)=... f(x)-f(c)/x-c x≠c

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…

Limit Definition of Derivative

Alternate Definition of Derivative

limit as x approaches 0: sinx/x

limit as x approaches 0: ... 1-cosx/x

limit (as h approaches 0)= F(x+h)-F(x)/h

limit (as x approaches a number c)=... f(x)-f(c)/x-c x≠c

1

0

Limit Definition of Derivative

limit (as h approaches 0)= F(x+h)-F(x)/h

Alternate Definition of Derivative

limit (as x approaches a number c)=... f(x)-f(c)/x-c x≠c

Limit Definition of Derivative

Alternate Definition of Derivative

limit as x approaches 0: sinx/x

limit as x approaches 0: ... 1-cosx/x

limit (as h approaches 0)= F(x+h)-F(x)/h

limit (as x approaches a number c)=... f(x)-f(c)/x-c x≠c

1

0

Limit Definition of Derivative

limit (as h approaches 0)= F(x+h)-F(x)/h

Alternate Definition of Derivative

limit (as x approaches a number c)=... f(x)-f(c)/x-c x≠c

Write the notation for the limit of f(x…

Write the notation for the limit of f(x…

State the 3 conditions of continuity of…

List the 3 situations in which a limit…

1. f(c) is defined... 2. The limit of f(x) as x approaches c exis…

1. Unbounded behavior... 2. Differing left/right behavior... 3. Osci…

Write the notation for the limit of f(x…

Write the notation for the limit of f(x…

What conditions must be to satisfied fo…

If the appropriate conditions are satis…

Limit

Quotient rule?

f(x) is continuous in the interval [a, b] and differentiable i…

There is at least one point c in the interval (a, b) at which…

A limit is the value that a function or sequence "approaches"…

(vu'-uv')/v^2

What conditions must be to satisfied fo…

f(x) is continuous in the interval [a, b] and differentiable i…

If the appropriate conditions are satis…

There is at least one point c in the interval (a, b) at which…

Find the average velocity given the vel…

Find the average velocity given the pos…

Find lim x→a f(x), no calculator

Find lim x→∞ f(x), calculator allowed

1/(b-a) ∫ v(t) dt

[s(b) - s(a)] / [b-a]

If you can substitute x=a directly in, then do it!... If you can…

Do Y1(1000000) on your calculator

Find the average velocity given the vel…

1/(b-a) ∫ v(t) dt

Find the average velocity given the pos…

[s(b) - s(a)] / [b-a]

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…

Write the notation for the limit of f(x…

Write the notation for the limit of f(x…

State the 3 conditions of continuity of…

List the 3 situations in which a limit…

1. f(c) is defined... 2. The limit of f(x) as x approaches c exis…

1. Unbounded behavior... 2. Differing left/right behavior... 3. Osci…

Write the notation for the limit of f(x…

Write the notation for the limit of f(x…

10

5

6

3/2

Evaluate the limit in Part A given the following information:

Evaluate the limit in Part B given the following information:

Evaluate the limit in Part C given the following information:

Evaluate the limit in Part D given the following information:

10

Evaluate the limit in Part A given the following information:

5

Evaluate the limit in Part B given the following information:

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…

10

5

6

3/2

Evaluate the limit in Part A given the following information:

Evaluate the limit in Part B given the following information:

Evaluate the limit in Part C given the following information:

Evaluate the limit in Part D given the following information:

10

Evaluate the limit in Part A given the following information:

5

Evaluate the limit in Part B given the following information:

Horizontal Asymptotes

Limits at infinity

Intermediate Value Theorem

Limits as x approaches c

Create and end-behavior model (take the highest degree term on…

May need to simplify, factor, then substitute

Horizontal Asymptotes

Limits at infinity

Create and end-behavior model (take the highest degree term on…

Derivative

Discontinuity

Increasing Function

Infinity

A function which gives the slope of a curve; that is, the slop…

A point at which the graph of a relation or function is not co…

A function with a graph that goes up as it is followed from le…

A "number" which indicates a quantity, size, or magnitude that…

Derivative

A function which gives the slope of a curve; that is, the slop…

Discontinuity

A point at which the graph of a relation or function is not co…