# Study sets matching "ap calculus"

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…

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…

Trig Derivatives

Solids of Revolution

Solids of Known Cross Section

Integrals as Net Change

V=∫(from a to b) A(x)dx... A(x)=πr²... 1. Sketch the region... 2. Deter…

v=∫(from a to b) A(x)dx... 1. Sketch the region and a cross secti…

∫(from a to b) v(t)dt = Displacement, give the net change in p…

Trig Derivatives

Solids of Revolution

V=∫(from a to b) A(x)dx... A(x)=πr²... 1. Sketch the region... 2. Deter…

related rates

taylor polynomials

sinx

cosx

define your variables and draw a picture... describe your info wi…

take the equation they give you and derive and solve with the…

cosx

-sinx

related rates

define your variables and draw a picture... describe your info wi…

taylor polynomials

take the equation they give you and derive and solve with the…

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…

Natural Numbers

Integers

Whole Numbers

Rational Numbers

The set of numbers 1, 2, 3, 4, ... Also called counting number…

The set of whole numbers and their opposites

Natural numbers ( counting numbers) and zero; 0, 1, 2, 3...

The set of any numbers that can be expressed as a fraction

Natural Numbers

The set of numbers 1, 2, 3, 4, ... Also called counting number…

Integers

The set of whole numbers and their opposites

Normal Line

Normal Slope

Tangent Line

Secant Line

Perpindicular to tangent line.

The derivative of f(x) at the point a1 then finding the negati…

...

...

Normal Line

Perpindicular to tangent line.

Normal Slope

The derivative of f(x) at the point a1 then finding the negati…

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]

Disk Method x-axis

Disk Method x-axis

Washer Method x - axis

Washer Method y-axis

V = pie * integral{a-b}[f(x)^2]dx

V = pie * integral{a-b}[f(y)^2]dy

V = pie*integral{a-b}[f(x)^2-g(x)^2]dx

V = pie*integral{a-b}[f(y)^2-g(y)^2]dy

Disk Method x-axis

V = pie * integral{a-b}[f(x)^2]dx

Disk Method x-axis

V = pie * integral{a-b}[f(y)^2]dy

Definition of a Derivative f'(x)

Definition of a Derivative at a Point f…

If f is differentiable at x=a ...

Rolle's Theorem

then f is continuous at x=a.

Definition of a Derivative f'(x)

Definition of a Derivative at a Point f…