AP Calculus AB Formulas

AP Calculus AB Formulas

memorize.aimemorize.ai (lvl 286)
Section 1

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u'/(1+u^2)

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Last updated

7 years ago

Date created

Mar 14, 2020

Cards (65)

Section 1

(50 cards)

u'/(1+u^2)

Front

Back

concavity

Front

Back

(secx)^2

Front

Back

ft/sec^2

Front

Back

y

Front

position

Back

-u'/√(1-u^2)

Front

Back

cosx

Front

Back

1/(xlna)

Front

Back

y''

Front

Back

vertical asymptote

Front

Back

Volume using Washers

Front

Back

The particle is slowing down

Front

Back

POSSIBLE Point of Inflection

Front

Back

hole

Front

Back

slope

Front

Back

(u'v-v'u)/(v^2)

Front

Back

Total distance traveled

Front

Back

Average value

Front

Back

Volume using Disks

Front

Back

Alternate Definition of Derivative

Front

Back

ft/sec

Front

Back

-u'/[|u|√(u^2-1)]

Front

Back

-u'/(1+u^2)

Front

Back

-sinx

Front

Back

a^x∙lna

Front

Back

True

Front

~True or False

Back

-(cscx)^2

Front

Back

u'v+uv'

Front

Back

f'(g(x))∙g'(x)

Front

Back

y'

Front

Back

(x')f(x)

Front

Back

e^x

Front

Back

ft

Front

Back

|velocity|

Front

Back

u'/√(1-u^2)

Front

Back

Displacement

Front

Back

-cscxcotx

Front

Back

x^(n+1)/(n+1) + C

Front

Back

nx^(n-1)

Front

Back

The particle is speeding up

Front

Back

e^u + C

Front

Back

Volume of Cross-Sections

Front

Back

1/[f'(f^(-1)(a))]

Front

Back

1/x

Front

Back

u'/[|u|√(u^2-1)]

Front

Back

Average rate of change or average velocity

Front

Back

POSSIBLE maximum or minimum

Front

Back

Fundamental Theorem of Calculus

Front

Back

Definition of Derivative

Front

Back

secxtanx

Front

Back

Section 2

(15 cards)

(1/a)arctan(u/a) + C

Front

Back

(a^u)/lna + C

Front

Back

(1/a)arcsec(|u|/a) + C

Front

Back

arcsin(u/a) + C

Front

Back

ln|secu+tanu| + C

Front

Back

-cosu + C

Front

Back

secu + C

Front

Back

-ln|cscu+cotu| + C

Front

Back

-cotu + C

Front

Back

-cscu + C

Front

Back

ln|sinu| + C

Front

Back

tanu + C

Front

Back

sinu + C

Front

Back

-ln|cosu| + C

Front

Back

ln|u| + C

Front

Back