## Derivatives of Trig and Hyperbolic Trig

##### Created by:

ribab  on November 14, 2011

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# Derivatives of Trig and Hyperbolic Trig

 sinh(-x)-sinh(x)
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#### Definitions

sinh(-x) -sinh(x)
cosh(-x) cosh(x)
cosh^2(x)-sinh^2(x) 1
1 - tanh^2(x) sech^2(x)
sinh(x+y) sinh(x)cosh(y)+cosh(x)sinh(y)
cosh(x+y) cosh(x)cosh(y)+sinh(x)sinh(y)
d/dx(sinh(x)) cosh(x)
d/dx(cosh(x)) sinh(x)
d/dx(tanh(x)) sech^2(x)
d/dx(csch(x)) -csch(x)coth(x)
d/dx(sech(x)) -sech(x)tanh(x)
d/dx(coth(x)) -csch^2(x)
d/dx(arcsinh(x)) 1/sqrt(1+x^2)
d/dx(arccosh(x) 1/sqrt(x^2-1)
d/dx(arctanh(x)) 1/(1-x^2)
d/dx(csch^-1(x)) -1/(abs(x)*sqrt(x^2+1))
d/dx(sech^-1(x)) -1/(x*sqrt(1-x^2))
d/dx(arccoth(x)) 1/(1-x^2)
d/dx(sin(x)) cos(x)
d/dx(cos(x)) -sin(x)
d/dx(tan(x)) sec^2(x)
d/dx(csc(x)) -csc(x)cot(x)
d/dx(sec(x)) sec(x)tan(x)
d/dx(cot(x)) -csc^2(x)
sin^2(x)+cos^2(x) 1
tan^2(x)+1 sec^2(x)
1+cot^2(x) csc^2(x)
sin(-x) -sin(x)
cos(-x) cos(x)
sin(x+y) sin(x)cos(y)+cos(x)sin(y)
cos(x+y) cos(x)cos(y)-sin(x)sin(y)
sin(x-y) sin(x)cos(y)-cos(x)sin(y)
cos(x-y) cos(x)cos(y)+sin(x)sin(y)
sin(2x) 2sin(x)cos(x)
cos(2x) cos^2(x)-sin^2(x)
sinh(x) (e^x-e^-x)/2
cosh(x) (e^x+e^-x)/2

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