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Calc AB Math stuff

44 Flashcards 1 recently 0/10

Derivative of tanx ☝️ Click to use flashcards

Calc AB Math stuff

44 Flashcards 1 recently 0/10

Ryan T

This isn't exhaustive

Calculus

Terms

Derivative of tanx
 (secx)^2
Derivative of secx
 secxtanx
Derivative of cotanx
 -(cosecx)^2
Derivative of cosecx
 -cosecxcotx
Derivative of loga(x)
 1/(xln(a))
Derivative of a^x where a is a constant
 a^x ln(a)
Integral of a^x
 (1/ln(a)) * a^x + C
Limit of sin(1/x) as x -> 0
 DNE
Limit of |x|/x as x -> 0
 DNE
Limit of 1/x as x -> 0
 Undefined
Limit of 1/(x^2) as x -> 0
 Infinity
sin(x)/x as x -> 0
 1
x/sin(x) as x -> 0
 1
sin(5x)/5x as x -> 0
 1
sin(5x)/2x as x -> 0
 5/2
Derivative of arcsin(x)
 1/sqrt(1-x^2)
Derivative of arctan(x)
 1/(1+x^2)
Derivative of arcsec(x)
 1/(x * sqrt(x^2-1))
Derivative of tanx
 (secx)^2
Derivative of secx
 secxtanx
Derivative of cotanx
 -(cosecx)^2
Derivative of cosecx
 -cosecxcotx
Derivative of loga(x)
 1/(xln(a))
Derivative of a^x where a is a constant
 a^x ln(a)
Integral of a^x
 (1/ln(a)) * a^x + C
Limit of sin(1/x) as x -> 0
 DNE
Limit of |x|/x as x -> 0
 DNE
Limit of 1/x as x -> 0
 Undefined
Limit of 1/(x^2) as x -> 0
 Infinity
sin(x)/x as x -> 0
 1
x/sin(x) as x -> 0
 1
sin(5x)/5x as x -> 0
 1
sin(5x)/2x as x -> 0
 5/2
Derivative of arcsin(x)
 1/sqrt(1-x^2)
Derivative of arctan(x)
 1/(1+x^2)
Derivative of arcsec(x)
 1/(x * sqrt(x^2-1))
Integral of 1/sqrt(a^2 - u^2)
 arcsin(u/a) + C
Integral of 1/(a^2+u^2)
 (1/a)arctan(u/a) + C
sin(A+B)=
 sinAcosB+cosAsinB
cos(A+B)=
 cosAcosB-sinAsinB
sin(A-B)=
 sinAcosB-cosAsinB
cos(A-B)=
 cosAcosB+sinAsinB
sin(2x)
 2sinxcosx
cos(2x)
 cos^2x-sin^2x