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28 Cards in this Set
- Front
- Back
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sinhx = |
(e^x - e^-x)/ 2 |
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coshx = |
(e^x + e^-x)/ 2 |
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tanhx = |
sinhx/coshx |
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cschx = |
1/sinhx |
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sechx = |
1/coshx |
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cothx = |
coshx / sinhx |
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derivative of (sinh x ) |
coshx |
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derivative of (coshx) |
sinhx |
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derivative of (tanhx) |
sech^2x |
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derivative of (cschx) |
(-cschx)(cothx) |
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derivative of (sechx) |
(-sechx)(tanhx) |
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derivative of (cothx) |
(-csch^2x) |
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y = sinh^-1x |
sinhy = x |
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sinh^-1x = |
ln (x + sqrt(x^2 + 1)) |
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cosh^-1x = |
ln (x + sqrt(x^2 -1)) |
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tanh^-1x = |
(1/2) ln ((1+x)/(1-x)) |
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derivative of (inverse sinhx) |
1/(sqrt(1+x^2)) |
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derivative of (inverse coshx) |
1/(sqrt (x^2 - 1)) |
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derivative of (inverse tanhx) |
1/(1-x^2) |
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derivative of (inverse cschx) |
-1/[abs(x)][sqrt(x^2 +1)] |
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derivative of (inverse sechx) |
-1/(x)(sqrt(1-x^2)) |
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derivative of (inverse cothx) |
1/1-x^2 |
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antiderivative of (1/(sqrt (1+x^2))) |
inverse sinhx |
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antiderivative of 1/[sqrt(x^2 - 1)] |
inverse coshx |
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antiderivative of 1/1 - x^2 |
inverse tanhx |
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antiderivative of -1/ [abs x][sqrt (x^2 + 1)] |
inverse cschx |
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antiderivative of -1/(x)(sqrt 1 - x^2) |
inverse sechx |
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antiderivative 1/1- x^2 |
inverse cothx |
