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33 Cards in this Set
- Front
- Back
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d/dx(log a X)
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1/[x ln(a)]
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d/dx(a^x)
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a^x*ln(a)
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∫(a^x)dx
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a^x/ln(a) + C
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d/dx(sin^-1 x)
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1/√(1-x^2)
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d/dx(cos^-1 x)
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-1/√(1-x^2)
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d/dx(tan^-1 x)
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1/(1+x^2)
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d/dx(csc^-1 x)
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-1/[x*√(x^2-1)]
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d/dx(sec^-1 x)
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1/[x*√(x^2-1)]
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d/dx(cot^-1 x)
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-1/(1+x^2)
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∫[1/(x^2 + a^2)dx]
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(1/a)*tan^-1(x/a) + C
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sinh x
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(e^x - e^-x)/2
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cosh x
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(e^x + e^-x)/2
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sinh(-x)
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-sinh(x)
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cosh(-x)
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cosh x
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cosh^2(x) - sinh^2(x)
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1
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1-tanh^2(x)
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sech^2(x)
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sinh(x+y)
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sinh(x)*cosh(y) + cosh(x)*sinh(y)
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cosh(x+y)
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cosh(x)*cosh(y) + sinh(x)*sinh(y)
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d/dx(sinh x)
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cosh x
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d/dx(cosh x)
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sinh x
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d/dx(tanh x)
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sech^2(x)
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d/dx(csch x)
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-csch(x)*coth(x)
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d/dx(sech x)
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-sech(x)tanh(x)
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d/dx(coth x)
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-csch^2(x)
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sinh^-1(x)
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ln[x+√(x^2 + 1)]
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cosh^-1(x)
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ln[x + √(x^2 - 1)]
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tanh^-1(x)
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(1/2)ln[(1+x)/(1-x)]
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d/dx(sinh^-1 x)
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1/√(x^2 + 1)
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d/dx(cosh^-1 x)
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1/√(x^2 - 1)
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d/dx(tanh^-1 x)
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1/(1 - x^2)
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d/dx(csch^-1 x)
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1/[abs(x)*√(x^2 + 1)]
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d/dx(sech^-1 x)
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1/[x*√(1 - x^2)]
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d/dx(coth^-1 x)
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1/(1 - x^2)
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