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Calc Derivatives
list of derivatives rules and trig derivatives
15
Mathematics
Undergraduate 2
02/05/2013
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Term

Power Rule:

f(x) = axn

 Definition
f ’(x) = anxn-1
Term
Product Rule:
f(x)g(x)
 Definition
f ’(x)g(x) + f(x)g’(x)
Term

Quotient Rule:

 f(x) 

g(x)

 Definition

 f ’(x)g(x) – f(x)g’(x)

[g(x)]2
Term

Chain Rule:

f(g(x))

 Definition
f ’(g(x))g’(x)
Term
y = ex
 Definition
y’ = ex
Term
y = ax
 Definition
y’ = ax ln a
Term
y = ln x
 Definition
y’ = 1/x
Term
y = logax
 Definition
y’ = 1 / (x ln a )
Term
y = sin(x)
 Definition
y’ = cos(x)
Term
y = cos(x)
 Definition
y’ = -sin(x)
Term
y = tan(x)
 Definition
y’ = sec2(x)
Term
y = csc(x)
 Definition
y’ = -csc(x)cot(x)
Term
y = sec(x)
 Definition
y’ = sec(x)tan(x)
Term
y = cot(x)
 Definition
y’ = -csc2(x)
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