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Calculus Derivatives
Product, Quotient, and Chain Rules AND Exponential, Logarithmic, and Trig Derivatives
13
Mathematics
12th Grade
11/14/2010
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Cards

Term
(d/dx) sin x
 Definition
cos x
Term
(d/dx) cos x
 Definition
- sin x
Term
(d/dx) tan x
 Definition
sec2 x
Term
(d/dx) csc x
 Definition
- csc x cot x
Term
(d/dx) sec x
 Definition
sec x tan x
Term
(d/dx) cot x
 Definition
- csc2 x
Term
(d/dx) ex
 Definition
ex
Term

 

(d/dx) ax 

 

 Definition

ax ln a

 
Term

 

(d/dx) ln |x|

 

 Definition
1/x
Term

 

(d/dx) loga x

 

 Definition
1/(x ln a)
Term

 

 

(d/dx) f(x)g(x)

 

 

 Definition


f(x)g'(x) + f'(x)g(x)

 

the product rule
Term

 

 

(d/dx) f(x)/g(x)

 

 

 Definition


g(x)f'(x)-f(x)g'(x)

------------

(g(x))2

 

the quotient rule
Term

 

 

(d/dx) f(g(x))

 

 

 Definition


f'(g(x))g'(x)

 

the chain rule
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