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Calculus - Derivative Rules
aggle flack
13
Mathematics
Undergraduate 1
10/11/2007
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Term
f(x)=c

c is a constant real number
 Definition
f'(x)=0
Term
f(x)=x
 Definition
f'(x)=1
Term
f(x)=x^n
 Definition
f'(x)=nx^n-1
Term
f(x)=e^x
 Definition
f'(x)=e^x
Term
f(x)=a^x
 Definition
f'(x)=(ln a)(a^x)
Term
f(x)=lnx=logx
 Definition
f'(x)=(1/x)
Term
f(x)=log\a x
 Definition
f'(x)=(1/ln a)(1/x)
Term
f(x)=sin x
 Definition
f'(x)=cos x
Term
f(x)=cos x
 Definition
f'(x)=-sin x
Term
f(x)=tan x
 Definition
f'(x)=sec^2x
Term
f(x)=cot x
 Definition
f'(x)=-csc^2 x
Term
f(x)=sec x
 Definition
f'(x)=sec x tan x
Term
f(x)=csc x
 Definition
f'(x)=-csc x cot x
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