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Table of Derivatives
(Math | Calculus | Derivatives | Table Of)

Power of x.
c = 0 x = 1 xn = n x(n-1) 
Proof

Exponential / Logarithmic
ex = ex 
Proof
bx = bx ln(b) 
Proof
ln(x) = 1/x 
Proof

Trigonometric
sin x = cos x 
Proof
csc x = -csc x cot x 
Proof
cos x = - sin x 
Proof
sec x = sec x tan x 
Proof
tan x = sec2 x 
Proof
cot x = - csc2 x 
Proof

Inverse Trigonometric
arcsin x  = 
sqrt(1 - x2)
 
arccsc x =  -1 
|x| sqrt(x2 - 1)
 
arccos x =   -1 
sqrt(1 - x2)
 
arcsec x = 
|x| sqrt(x2 - 1)
 
arctan x = 
1 + x2
 
arccot x =  -1 
1 + x2
 

Hyperbolic
sinh x = cosh x 
Proof
csch x = - coth x csch x 
Proof
cosh x = sinh x 
Proof
sech x = - tanh x sech x 
Proof
tanh x = 1 - tanh2 x 
Proof
coth  x = 1 - coth2 x 
Proof
 
 
Those with hyperlinks have proofs.
 

  
 
  

 
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