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 Table of Derivatives
 
 

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

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

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

Inverse Trigonometric
arcsin(x)= 1 / (1 - x 2)
arccos(x)= - 1 / (1 - x 2)
arctan(x)= 1 / (1 + x 2)
arccot(x)= - 1 / (1 + x 2)
arccsc(x)= - 1 / |x|(x 2 - 1)
arcsec(x)= 1 / |x|(x 2 - 1)

Hyperbolic
sinh(x) = cosh(x)
cosh(x) = sinh(x)
tanh(x) = 1 - tanh2(x)
csch(x) = - coth(x) csch(x)
sech(x) = - tanh(x) sech(x)
coth(x) = 1 - coth2(x)






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