# Study sets matching "ap calculus"

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Definition of Extrema

Absolute Maximum/Minimum (AKA Global Ma…

Extreme Value Theorem

Relative Extrema (AKA Local Extrema)

Let f be defined on an interval I with c∈I. ... f(c) is a maximu…

The maximum or minimum on an interval. These values can occur…

If f is continuous on a closed interval [a,b], then f has both…

If there is an open interval containing c on which f(c) is a m…

Definition of Extrema

Let f be defined on an interval I with c∈I. ... f(c) is a maximu…

Absolute Maximum/Minimum (AKA Global Ma…

The maximum or minimum on an interval. These values can occur…

sin^(2) (x) + cos^(2) (x)

(sin(x)/cos(x))

cos^(2) (x) - sin^(2) (x)

1 - 2sin^(2) (x)

= 1... Variations:... 1 - sin^(2) (x) = cos^(2) (x)... 1 - cos^(2) (x)…

= tan(x)

= cos(2x)

= cos(2x)

sin^(2) (x) + cos^(2) (x)

= 1... Variations:... 1 - sin^(2) (x) = cos^(2) (x)... 1 - cos^(2) (x)…

(sin(x)/cos(x))

= tan(x)

integration by parts

exponential growth

logistic growth

average rate of change

uv - ∫vdu

dy/dt = ky... A = Pe^Rt... the rate of growth is proportional to the…

dp/dt = KP(M - P)... P = M/ 1 + Ae^-(Mk)t

s(b) - s(a)/ b-a

integration by parts

uv - ∫vdu

exponential growth

dy/dt = ky... A = Pe^Rt... the rate of growth is proportional to the…

Rene Descartes

William Harvey

Nicolaus Copernicus

Francis Bacon

French philosopher and mathematician 17th century French philo…

English physician who used lab experiments to study the circul…

The Polish scientist who worked in the 1500s. He abandoned the…

English philosopher, and scientist. ... Advocated for a system of…

Rene Descartes

French philosopher and mathematician 17th century French philo…

William Harvey

English physician who used lab experiments to study the circul…

Andreas Vesalius

Nicholas Copernicus

Isaac Newton

Paleography

A Flemish physician whose work, The Structure of the Human Bod…

Author of the work On the Revolutions of Heavenly Orbs, throug…

The inventor of calculus and the author of Mathematical Princi…

The science of deciphering, reading, dating, and authenticatio…

Andreas Vesalius

A Flemish physician whose work, The Structure of the Human Bod…

Nicholas Copernicus

Author of the work On the Revolutions of Heavenly Orbs, throug…

Andreas Vesalius

Nicholas Copernicus

Isaac Newton

paleography

A Flemish physician whos work, The Structure of the Human Body…

Author of the work On Revolutions of Heavenly Orbs, through ma…

The inventor of calculus and author of Mathematical Principles…

The science of deciphering, reading, dating, and authenticatio…

Andreas Vesalius

A Flemish physician whos work, The Structure of the Human Body…

Nicholas Copernicus

Author of the work On Revolutions of Heavenly Orbs, through ma…

The original function is increasing if

The original function is decreasing if

F(x) has a local min if

F(x) has a local max if

the derivative has positive y-values

the derivative has negative y-values

f'(x) is positive to the left and negative to the right

f'(x) is negative to the left and positive to the right

The original function is increasing if

the derivative has positive y-values

The original function is decreasing if

the derivative has negative y-values

Andreas Vesalius

Nicholas Copernicus

Isaac Newton

paleography

a Flemish physician whose work, the structure of the human bod…

author of the work on the revolution of heavenly orbs, through…

the inventor of calculus and the author of Mathematical Princi…

the science of deciphering, reading, dating, and authenticatio…

Andreas Vesalius

a Flemish physician whose work, the structure of the human bod…

Nicholas Copernicus

author of the work on the revolution of heavenly orbs, through…

lim f(x)... x--> a... Exists

continuity definition

lim f(x)... x-->a ... techniques

lim f(x)... x--> oo... techniques... (infinate l…

Make sure the left sided and the right sided limits are =... lim…

1. f(a)= defined... 2. limit exists ... lim f(x) = lim f(x)... x-->a^-…

1. plug in a ... 2. simplify then plug in a... 3. approximate

1. polynomials: use only the first term... 2. rationals: divide e…

lim f(x)... x--> a... Exists

Make sure the left sided and the right sided limits are =... lim…

continuity definition

1. f(a)= defined... 2. limit exists ... lim f(x) = lim f(x)... x-->a^-…

Derivative of a product of two function…

Derivative of a quotient of two functio…

sin' x =

tan'x =

y'=u'v + v'u (derivative of first times second, plus firt time…

y'=(u'v-uv')/(v^2) (Derivative of top times bottom, minus top…

cos x

sec²x

Derivative of a product of two function…

y'=u'v + v'u (derivative of first times second, plus firt time…

Derivative of a quotient of two functio…

y'=(u'v-uv')/(v^2) (Derivative of top times bottom, minus top…