Derivatives of Trig and Hyperbolic Trig
Order by
37 terms
Terms | 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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