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calculus

memorize.ai

memorize.ai (lvl 286)

Section 1

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limx->0 x*cos(1/x)

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Last updated

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Date created

Mar 1, 2020

Cards (28)

Section 1

(28 cards)

limx->0 x*cos(1/x)

Front

0 (cos)

Back

arcsinx

Front

1/sqrt(1-x^2)

Back

Product Rule

Front

f'g+fg'

Back

Power Rule

Front

nx^n-1

Back

derivative of x

Front

1

Back

d/dx(e^x)

Front

e^x

Back

d/dx(tanx)

Front

sec^2x

Back

limx->0 sin(1/x)

Front

dne(y)

Back

limx->0 (1+x)^1/x

Front

e

Back

limx->0 cosx-1/x

Front

0 (cos)

Back

Chain Rule

Front

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

Back

d/dx(cotx)

Front

-csc^2x

Back

d/dx(cscx)

Front

-cscxcotx

Back

arctanx

Front

1/(1+x^2)

Back

d/dx(a^x)

Front

(lna)a^x

Back

limx->0 (a^x-1)/x

Front

ln(a) (memorized limit)

Back

d/dx(lnx)

Front

1/x, x>0

Back

d/dx(ln absx)

Front

1/x, x cannot equal 0

Back

arccosx

Front

-(1/sqrt(1-x^2))

Back

limx->0 cos(1/x)

Front

dne(x)

Back

d/dx(loga(x))

Front

1/(lna)x, x>0

Back

limx->0 (e^x-1)/x

Front

1 (memorized limit)

Back

d/dx(secx)

Front

secxtanx

Back

limx->0 x*sin(1/x)

Front

0 (sin)

Back

lim x->0 sinx/x

Front

1 (fcn)

Back

d/dx(cosx)

Front

-sinx

Back

Quotient Rule

Front

g(x)f'(x)-f(x)g'(x)/g(x)^2

Back

d/dx(sinx)

Front

cosx

Back