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Calculus 1 - Midterm 3 review
N/A
13
Mathematics
Undergraduate 1
11/18/2012
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Term
Antiderivative of sinx
 Definition
-cosx + C
Term
Antiderivative of cosx
 Definition
sinx + C
Term
Antiderivative of sec2x
 Definition
tanx + C
Term
Antiderivative of csc2x
 Definition
-cotx + C
Term
Antiderivative of secxtanx
 Definition
secx + C
Term
Antiderivative of cscxcotx
 Definition
-cscx + C
Term

If f is a one-to-one differentiable function with inverse function f −1 and f′(f−1(a)) = 0, then  f(-1)'(a) = 

 Definition


1

 

(f−1)′(a) =  .f'′(f−1(a))

 
Term
Area of a circle
 Definition
A = πr2
Term
Volume of a sphere
 Definition
V = (4/3)πr3
Term
Volume of a cylinder
 Definition
V = πr2h
Term
Volume of a cone
 Definition
(1/3)πr2h
Term
Circumference of a circle
 Definition
C = 2πr
Term
Surface area of a cylinder 
 Definition
SA = 2πrh + 2πr2
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