# Shared Flashcard Set

## Details

Common Derivative Formulas
Mrs. Bunger's Derive this! Foldable
18
Mathematics
10/28/2012

Term
 Dx(c)
Definition
 O
Term
 Dx(xn)
Definition
 nxn-1
Term
 Dx(ex)
Definition
 ex
Term
 Dx(ax)
Definition
 ax · ln a
Term
 Dx(ln x)
Definition
 1 x
Term
 Dx(logax)
Definition
 1 x · log a
Term
 Dx(sin x)
Definition
 cos x
Term
 Dx(cos x)
Definition
 -sin x
Term
 Dx(tan x)
Definition
 1 cos2x     or     sec2x
Term
 Dx(sec x)
Definition
 sec x · tan x
Term
 Dx(cot x)
Definition
 -1 sin2x     or     -csc2x
Term
 Dx(csc x)
Definition
 -csc x · cot x
Term
 Dx(arcsin x)   or   Dx(sin-1 x)
Definition
 1 √(1- x2) -π/2 < f(x) < π/2
Term
 Dx(arccos x)   or   Dx(cos-1 x)
Definition
 -1 √(1- x2)
Term
 Dx(arctan x)   or   Dx(tan-1 x)
Definition
 1 1+x2
Term
 Dx(arccot x)   or   Dx(cot-1 x)
Definition
 -1 1+x2
Term
 Dx(arcsec x)   or   Dx(sec-1 x)
Definition
 1 x√(x2 - 1)
Term
 Dx(arccsc x)   or   Dx(csc-1 x)
Definition
 -1 x√(x2 - 1)
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