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Section 1

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change of base formula

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Calculus Math

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Date created

Mar 1, 2020

Cards (35)

Section 1

(35 cards)

change of base formula

Front

logb(M)=loga(M)/loga(b)

Back

Logarithm product rule

Front

logb(MN)=logb(M)+logb(N)

Back

d/dx tanx

Front

(secx)^2

Back

sin(x+y)

Front

sinxcosy+cosxsiny

Back

Logarithm power rule

Front

logb(M)^x=xlogb(M)

Back

sinxcosy

Front

1/2[sin(x+y)+sin(x-y)]

Back

f(-x)

Front

reflection over y-axis. every + x value is now a - x value

Back

Odd function

Front

f(-x)=-f(x), x,y -x,-y, symmetric with respect to the origin

Back

sin(-x)

Front

-sinx

Back

lim theta->0 sintheta/theta

Front

1

Back

Lim theta->0 (cos theta -1)/theta

Front

0

Back

d/dx cosx

Front

-sinx

Back

d/dx cscx

Front

-cscxcotx

Back

d/dx sinx

Front

cosx

Back

cos(x+y)

Front

cosxcosy-sinxsiny

Back

tan(x+y)

Front

(tanx+tany)/(1-tanxtany)

Back

cos(-x)

Front

cosx

Back

d/dx secx

Front

secxtanx

Back

cos(x-y)

Front

cosxcosy+sinxsiny

Back

tan^2x +1

Front

sec^2x

Back

sin2x

Front

2sinxcosx

Back

cos^2x

Front

(1+cos2x)/2

Back

sin^x

Front

(1-cos2x)/2

Back

sinxsiny

Front

1/2[cos(x-y)-cos(x+y)]

Back

d/dx cotx

Front

-(cscx)^2

Back

Logarithm Quotient rule

Front

log b(M/N)=logb(M)-logb(N)

Back

cos2x

Front

2cos^2x - 1

Back

cosxcosy

Front

1/2(cos(x+y)+cos(x-y))

Back

cos2x

Front

1-2sin^2x

Back

-f(x)

Front

reflection over x-axis. Every + y value is now - y value

Back

cos2x

Front

cos^2x-sin^2x

Back

Even function

Front

f(-x)=f(x) --> symmetric about y axis

Back

tan(x-y)

Front

(tanx-tany)/(1+tanxtany)

Back

sin(x-y)

Front

sinxcosy-cosxsiny

Back

1+cot^2x

Front

csc^2x

Back