#### Study sets matching "ap calculus"

#### Study sets matching "ap calculus"

Derivative

Implicit differentiation

tangent

Secant

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

The process of finding the derivative of a dependent variable…

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

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 slo…

Implicit differentiation

The process of finding the derivative of a dependent variable…

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. Dete…

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

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

Trig Derivatives

Solids of Revolution

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

related rates

taylor polynomials

sinx

cosx

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

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 w…

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 farth…

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

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

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

End behavior

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

Exponential Decay

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

IVT

EVT

MVT

Rolles Theorum

If a function is continuous on [a,b], then it passes through…

If f is continuous over a closed interval, then f has a max a…

if f is continuous on [a,b] and differentiable, the instant r…

If f is continuous on [a,b] and diff, there must be a max and…

IVT

If a function is continuous on [a,b], then it passes through…

EVT

If f is continuous over a closed interval, then f has a max a…

Natural Numbers

Integers

Whole Numbers

Rational Numbers

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

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 numbe…

Integers

The set of whole numbers and their opposites

rolle's theorem

mean value theorem

extrema

critical values

1) check that you can use rolle's theorem... -is it continuous?…

f(x) has to be continuous and differentiable... defined over [a,…

extrema = relative min or max... derivative of the function = 0…

-relative min/max only occur at cv... cv are f'(c) = 0 or f'(c)…

rolle's theorem

1) check that you can use rolle's theorem... -is it continuous?…

mean value theorem

f(x) has to be continuous and differentiable... defined over [a,…

We use a Riemann Sum to approximate th…

= 0... Note the limits on the integral.

Note the limits on the integral. Use a…

f(x) must be continuous on [a, b]. The…

Riemann Sums

The "Zero" Integral

Order of Integration

Mean Value Theorem for Definite Integrals

We use a Riemann Sum to approximate th…

Riemann Sums

= 0... Note the limits on the integral.

The "Zero" Integral