# Study sets matching "calculus 1"

0

f'(x) + g'(x)

cf'(x)

f(x)g'(x) + g(x)f'(x)

derivative of a constant

derivative of the summation of two functions

derivative of a constant times a function

derivative of the multiplaction of two functions

0

derivative of a constant

f'(x) + g'(x)

derivative of the summation of two functions

0

f'(x) + g'(x)

cf'(x)

f(x)g'(x) + g(x)f'(x)

derivative of a constant

derivative of the summation of two functions

derivative of a constant times a function

derivative of the multiplaction of two functions

0

derivative of a constant

f'(x) + g'(x)

derivative of the summation of two functions

Metacognition ( Five things to remember…

Five Step Problem Solving process (algo…

Function

Write Equations of Parallel and Perpend…

1. Assess the task—Get a handle on what is involved in complet…

1. Familiarize yourself with the problem... 2. Identify the know…

a function from a set X to a set Y is a rule for assigning to…

Metacognition ( Five things to remember…

1. Assess the task—Get a handle on what is involved in complet…

Five Step Problem Solving process (algo…

1. Familiarize yourself with the problem... 2. Identify the know…

Completing statements with meaning of c…

Completing statements with meaning of l…

If f(x) is continuous at x = r then lim…

The expression that defines the derivat…

"we can keep the numbers produced by f(x)=____ as close as we…

"we can keep the numbers produced by (whatever is beside limit…

f(r)

Completing statements with meaning of c…

"we can keep the numbers produced by f(x)=____ as close as we…

Completing statements with meaning of l…

"we can keep the numbers produced by (whatever is beside limit…

Foundation 1: I can state 2 things that…

Foundation 2: I can state 2 things that…

Foundation 3

D1:

1.) The instantaneous rate of change and 2.) the slope of the…

1.) the net change; 2.) the area between a curve and the x-axis

I can estimate derivatives numerically

I can state what limits informally mean

Foundation 1: I can state 2 things that…

1.) The instantaneous rate of change and 2.) the slope of the…

Foundation 2: I can state 2 things that…

1.) the net change; 2.) the area between a curve and the x-axis

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…

Difference Quotient

Piecewise functions

Logarithmic Function

Trigonometric Functions

Function expressed by two or more different formulas over diff…

and/or A^y = X

Sine X ... Cos X ... Tan X ... Sec X ... CSC X ... CoTan X

Difference Quotient

Piecewise functions

Function expressed by two or more different formulas over diff…

Function

Domain

x²x³

x²/x³

Assigns to each number in its domain another number... Takes 1 i…

Consists of all numbers for which the rule makes sense. All nu…

x²⁺³

x²⁻³

Function

Assigns to each number in its domain another number... Takes 1 i…

Domain

Consists of all numbers for which the rule makes sense. All nu…

0

f'(x) + g'(x)

cf'(x)

f(x)g'(x) + g(x)f'(x)

derivative of a constant

derivative of the summation of two functions

derivative of a constant times a function

derivative of the multiplaction of two functions

0

derivative of a constant

f'(x) + g'(x)

derivative of the summation of two functions

0

f'(x) + g'(x)

cf'(x)

f(x)g'(x) + g(x)f'(x)

derivative of a constant

derivative of the summation of two functions

derivative of a constant times a function

derivative of the multiplaction of two functions

0

derivative of a constant

f'(x) + g'(x)

derivative of the summation of two functions

0

f'(x) + g'(x)

cf'(x)

f(x)g'(x) + g(x)f'(x)

derivative of a constant

derivative of the summation of two functions

derivative of a constant times a function

derivative of the multiplaction of two functions

0

derivative of a constant

f'(x) + g'(x)

derivative of the summation of two functions

Limit Does NOT Exist when:

Formal Definition of Limit:

Squeeze Theorem

Continuous at point x=c

1. f(x) approaches different number from L and R... 2. Vertical A…

if a fuc is between two other functions, both having a limit L…

Limit Does NOT Exist when:

1. f(x) approaches different number from L and R... 2. Vertical A…

Formal Definition of Limit:

limit definition (in words)

limit DNE

vertical asymptote

horizontal asymptote

the y-value a function approaches from both sides as x approac…

if there is unbounded, infinite, oscillating behavior or jump…

at some point x = a, f(x) → ∞ (check denom.)

as x → ∞, f(x) approaches some number

limit definition (in words)

the y-value a function approaches from both sides as x approac…

limit DNE

if there is unbounded, infinite, oscillating behavior or jump…