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23 Cards in this Set

  • Front
  • Back
Product rule
(first)(derivative-second)+(second)(derivative-first)
Quotient rule
[(low)(derivative-high)-(high)(derivative-low)]/(low)²
Derivative of a constant
0
Derivative uⁿ
nuⁿ⁻¹u'
Derivative sinθ
cosθ
Derivative cosθ
-sinθ
Derivative tanθ
sec²θ
Derivative cotθ
-csc²θ
Derivative secθ
secθtanθ
Derivative cscθ
-cscθcotθ
Derivative sin⁻¹θ
u'/√1-u²
Derivative cos⁻¹θ
-u'/√1-u²
Derivative tan⁻¹θ
u'/1+u²
Derivative cot⁻¹θ
-u'/1+u²
Derivative sec⁻¹θ
u'/|u|√u²-1
Derivative csc⁻¹θ
-u'/|u|√u²-1
Derivative lnx
x'/x
Derivative e∧x
(e∧x)(x')
Derivative logau
u'/(u)(lna)
Derivative a∧u
(a∧u)(lna)(u')
1st derivative represents:
velocity
2nd derivative represents:
acceleration
3rd derivative represents:
jerk