Go on. Explore!

lvl 0 • 0 xp

lvl 1

Home Market Decks Interests

AP Calculus Chapter 2 Vocab

memorize.ai (lvl 286)

(0)

22 cards

()

Section 1

Preview this deck

d/dx[√x]

Front

1 / 22

Calculus Math

0.0

0 reviews

5			0
4			0
3			0
2			0
1			0

Active users

All-time users

Favorites

Last updated

6 years ago

Date created

Mar 1, 2020

Cards (22)

Section 1

(22 cards)

d/dx[√x]

Front

1/2√x

Back

d/dx[e^x]

Front

e^x

Back

Instantaneous Rate of Change

Front

the instantaneous speed at any single point in time

Back

Rules for Limits

Front

1. Sum rule: The limit of the sum of two functions is the sum of their limits. 2. Difference rule: The limit of the difference of two functions is the difference of their limits. 3. Product rule: The limit of a product of two functions is the product of their limits. 4. Constant Multiple Rule: The limit of a constant times a function is the constant times the limit of the function. 5. Quotient Rule: The limit of a quotient of two functions is the quotient of their limits (as long as the limit of the denominator is not zero).

Back

lim x/sin(x) x→0

Front

1

Back

Types of continuity

Front

Functions can be continuous on an interval (it is continuous at every point of the interval) or just a continuous function (continuous at every point in the domain.

Back

Average Rate of Change

Front

the rate of change of a function over an interval; amount of change divided by the time it takes

Back

lim x/1-cos(x) x→0

Front

DNE

Back

d/dx[cx^n]

Front

ncx^n-1

Back

d/dx[cosx]

Front

-sinx

Back

d/dx[1/x]

Front

-1/x^2

Back

lim tan(x)/x x→0

Front

1

Back

Slope of Curve at a Point

Front

The slope of the curve at the point P(a, f(a)) is the number m=lim(h-0) (f(a+h)-f(a))/h, provided the limit exists.

Back

One-Sided Limit

Front

A one-sided limit approaches a limit from either the left or right side. Generally if it were to approach from both sides, the limit would not exist.

Back

d/dx[lnx]

Front

1/x

Back

Two-Sided Limit

Front

A two-sided limit is a limit that has the same value regardless if it is approached from the left or from the right.

Back

lim x/tan(x) x→0

Front

1

Back

Continuity

Front

A continuous function is one that is continuous in every point of its domain.

Back

d/dx[sinx]

Front

cosx

Back

Intermediate Value Theorem

Front

A function that takes on two values without taking on all the values in between.

Back

lim sin(x)/x x→0

Front

1

Back

lim 1-cos(x)/x x→0

Front

0

Back