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30 Cards in this Set

  • Front
  • Back
sin^2 (x)+cos^2 (x)=
Answer: 1
1+ tan^2 (x)=
Answer: sec^2 (x)
1+Cot^2 (x)=
Answer: csc^2 (x)
Sin^2 (u)=
used to integrate
Answer: 1-cos (2u)
2
Cos^2 (u)=
Used to integrate
Answer: 1+Cos (2u)
2
Lim Sin (x)
x->0 x
Answer: 1 (L' Hopital)
Lim Sin (x)
x->infinity x
Answer: 0
Intermediate Value theorem
Answer: If a function is continuous between a and b, then it takes on every value between f(a) and f(b)
Definition of derivative
Answer: f '(x)=Lim f(x+h) - f(x)
h->0 h
d (uv)
dx
Product rule
Answer: uv' +vu'
d u =
dx v
Quotient rule
Answer: vu'-uv'
v^2
Derivate of sin (u) =
Answer: Cos (u) u'
Derivative of Cos (u) =
Answer: -Sin (u) u'
Derivative of tan (u)=
Answer: sec^2 (u) u'
Derivative of cot (u)=
Answer: -Csc^2 (u) u'
Derivative of Sec (u) =
Answer: sec (u) Tan (u) u'
Derivative of Csc (u) =
-csc (u) Cot (u) u'
derivative of arcsine =
Answer: u"
rad(1-u^2)
derivative of arccosine=
Answer: -u'
rad(1-u^2)
derivative of arctangent =
Answer: u'
1+u^2
d u =
dx v
Quotient rule
Answer: vu'-uv'
v^2
Derivate of sin (u) =
Answer: Cos (u) u'
Derivative of Cos (u) =
Answer: -Sin (u) u'
Derivative of tan (u)=
Answer: sec^2 (u) u'
Derivative of cot (u)=
Answer: -Csc^2 (u) u'
Derivative of Sec (u) =
Answer: sec (u) Tan (u) u'
Derivative of Csc (u) =
-csc (u) Cot (u) u'
derivative of arcsine =
Answer: u"
rad(1-u^2)
derivative of arccosine=
Answer: -u'
rad(1-u^2)
derivative of arctangent =
Answer: u'
1+u^2