Go on. Explore!

lvl 0 • 0 xp

lvl 1

Home Market Decks Interests

Calculus AP Review 2

memorize.ai (lvl 286)

(0)

47 cards

()

Section 1

Preview this deck

Speeding Up

Front

1 / 47

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 (47)

Section 1

(47 cards)

Speeding Up

Front

Acceleration and Velocity have the same sign

Back

integral of velocity

Front

total displacement

Back

d/dx csc x

Front

- cscxcotx

Back

Limit to infinity

Front

Take higher exponents

Back

Intermediate Value Theorem

Front

Shows existence of a value between two known values

Back

Velocity

Front

Derivative of position

Back

Continuity

Front

1. The point exists 2. The limit exists 3. The point = Limit

Back

d/dx cosx

Front

-sinx

Back

Volume of rectangle base with slices

Front

V=a∫x^2 dx

Back

Slowing Down

Front

Acceleration and Velocity have opposite signs

Back

d/dx e^x

Front

e^x

Back

Moving Left

Front

Negative Velocity

Back

d/dx sinx

Front

cosx

Back

At Rest

Front

Velocity is zero

Back

Vertical Asymptote

Front

Makes denominator zero after factoring

Back

Acceleration

Front

Derivative of Velocity

Back

∫(top curve-bottom curve)

Front

Area between curves

Back

d/dx arctanx

Front

1/(1+x^2)

Back

Volume with washer (has hole)

Front

V=π∫(outter^2 - inner^2) dx

Back

concave up

Front

second derivative postive

Back

minimum

Front

first derivative changes from negative to positive

Back

Slope of a tangent line

Front

Derivative at given value

Back

Differentiability

Front

No discontinuity,sharp corner, or vertical tangent line; f'(x) exists

Back

increasing

Front

first derivative is positive

Back

d/dx sec x

Front

sec x tan x

Back

finding extremes on an interval

Front

Test endpoints and critical values(values were der. is zero or undefined)

Back

d/dx ln x

Front

1/x

Back

integral of abs value of velocity

Front

total distance

Back

Equation of Tangent Line

Front

y-y1=(dy/dx) (x-x1)

Back

Average Value of a Function

Front

Back

d/dx cot x

Front

- (csc x) ^2

Back

maximum

Front

first derivative changes from positive to negative

Back

Linear Approximation

Front

Use equation of tangent line

Back

Changing Direction

Front

Velocity is zero and changes sign on each side

Back

Moving Right

Front

Positive Velocity

Back

decreasing

Front

first derivative is negative

Back

concave down

Front

second derivative negaitve

Back

d/dx tan x

Front

(sec x)^2

Back

Mean Value Theorem

Front

Shows existence of a rate between two known values; f'(c) = (f(b)-f(a))/(b-a) for some c

Back

d/dx arcsin x

Front

1/√(1-x^2 )

Back

Normal Line

Front

Slope is opposite reciprocal of tangent line

Back

A Limit Exists if.....

Front

It approaches the same number from both sides

Back

Volume of square base with slices

Front

V=∫x^2 dx

Back

Volume of semicircle with diameter in base with slices

Front

V=π/8 ∫x^2 dx

Back

Horizontal Asymptote

Front

Take limit as x approaches infinity or negative infinity or BOBOBOTN

Back

Volume with disk

Front

V=π∫x^2 dx

Back

inflection point

Front

concavity changes; is probable if second derivative is zero

Back