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sinhx
(e^x-e^-x)/2
coshx
(e^x+e^-x)/2
tanhx
sinhx/coshx
cschx
1/sinhx
sechx
1/coshx
cothx
coshx/sinhx
sinh(-x)
-sinh(x)
cosh²x-sinh²x
1
sinh(x+y)
sinhxcoshy+coshxsinhy
cosh(x+y)
coshxcoshy+sinhxsinhy
cosh(-x)
coshx
1-tanh²x
sech²x
d/dx(sinhx)
coshx
d/dx(coshx)
sinhx
d/dx(tanhx)
sech²x
d/dx(cschx)
-cschxcothx
d/dx(sechx)
-sechxtanhx
d/dx(cothx)
-csch²x
sinh^-1(x)
ln(x+sqrt(x²+1))
cosh^-1(x)
ln(x+sqrt(x²-1))
tanh(-1)x
(1/2)(ln((1+x)/(1-x)))
d/dx(sinh^-1(x))
1/sqrt(1+x²)
d/dx(cosh^-1(x))
1/sqrt(x²-1)
d/dx(tanh^-1(x))
1/(1-x²)
d/dx(csch^-1(x))
-1/(abs(x)sqrt(x²+1))
d/dx(sech^-1(x))
-1/(xsqrt(1-x²))
d/dx(coth^-1(x))
1/(1-x²)