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Derivative Rules
21 Derivative Rules!
21
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12th Grade
12/05/2013
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Term
d/dx x^n = ?
 Definition
nx^n-1
Term
d/dx e^x = ?
 Definition
e^x
Term
d/dx [f(x)g(x)] = ?
 Definition
f(x)g'(x)+ g(x)f'(x)
Term
d/dx [f(x)/g(x)] = ?
 Definition
g(x)f'(x)-f(x)g'(x)/g(x)²
Term
d/dx sinx = ?
 Definition
cosx
Term
d/dx cosx = ?
 Definition
-sinx
Term
d/dx cscx = ?
 Definition
-cscxcotx
Term
d/dx secx = ?
 Definition
secxtanx
Term
d/dx tanx = ?
 Definition
sec²x
Term
d/dx cotx = ?
 Definition
csc²x
Term
d/dx [f{g(x)}] = ?
 Definition
f'{g(x)}*g(x)
Term
When g(x) is the inverse of f(x), g'(x) = ?
 Definition
1/f'{g(x)}
Term
d/dx sin-1x = ?
 Definition
1/√(1-x²)
Term
d/dx cos-1x = ?
 Definition
-1/√(1-x²)
Term
d/dx csc-1x = ?
 Definition
-1/|x|√(x²)-1
Term
d/dx sec-1x = ?
 Definition
1/|x|√(x²)-1
Term
d/dx tan-1x = ?
 Definition
1/x²+1
Term
d/dx cot-1x = ?
 Definition
-1/x²+1
Term
d/dx b^x = ?
 Definition
(lnb)b^x
Term
d/dx lnx = ?
 Definition
1/x
Term
d/dx logbx
 Definition
1/(lnb)x
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