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Calculus I: Derivatives I
Derivatives of trig, log functons, and inverse trig functions.
12
Mathematics
Undergraduate 1
04/04/2009
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Term
What is the derivative of ln(x)?
 Definition
1/x
Term
What is the derivative of sin(x)?
 Definition
cos(x)
Term
What is the derivative of cos(x)?
 Definition
-sin(x)
Term
What is the derivatve of tan(x)?
 Definition
sec2(x)
Term
What is the derivative of sec(x)?
 Definition
sec(x)tan(x)
Term
What is the derivative of cot(x)?
 Definition
-csc2(x)
Term
What is the derivative of csc(x)?
 Definition
-csc(x)cot(x)
Term
what is the derivative of arcsin(x) (inverse sin(x))?
 Definition
1/sqrt(1-x2)
Term
What is the derivative of inverse tan(x) (arctan)?
 Definition
1/(1+x2)
Term
What is the derivative of inverse sec(x)?
 Definition
1/(x*sqrt(x2-1))
Term
what is the derivative of ax?
 Definition
axln(a)
Term
What is the derivative of logbx?
 Definition
1/(xlnb)
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