· tanhu = sech2 u dx Proof: d tanh u — dx dx dx Sinh u cosh u dx dx du sinhu dx du dx du du...

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Transcript of  · tanhu = sech2 u dx Proof: d tanh u — dx dx dx Sinh u cosh u dx dx du sinhu dx du dx du du...

Page 1:  · tanhu = sech2 u dx Proof: d tanh u — dx dx dx Sinh u cosh u dx dx du sinhu dx du dx du du cosh u — sinhu dx cosh2 u du = sech2 u dx (cosh2 u — sinh2 u) dx cosh2 u cosh2
Page 2:  · tanhu = sech2 u dx Proof: d tanh u — dx dx dx Sinh u cosh u dx dx du sinhu dx du dx du du cosh u — sinhu dx cosh2 u du = sech2 u dx (cosh2 u — sinh2 u) dx cosh2 u cosh2
Page 3:  · tanhu = sech2 u dx Proof: d tanh u — dx dx dx Sinh u cosh u dx dx du sinhu dx du dx du du cosh u — sinhu dx cosh2 u du = sech2 u dx (cosh2 u — sinh2 u) dx cosh2 u cosh2
Page 4:  · tanhu = sech2 u dx Proof: d tanh u — dx dx dx Sinh u cosh u dx dx du sinhu dx du dx du du cosh u — sinhu dx cosh2 u du = sech2 u dx (cosh2 u — sinh2 u) dx cosh2 u cosh2
Page 5:  · tanhu = sech2 u dx Proof: d tanh u — dx dx dx Sinh u cosh u dx dx du sinhu dx du dx du du cosh u — sinhu dx cosh2 u du = sech2 u dx (cosh2 u — sinh2 u) dx cosh2 u cosh2
Page 6:  · tanhu = sech2 u dx Proof: d tanh u — dx dx dx Sinh u cosh u dx dx du sinhu dx du dx du du cosh u — sinhu dx cosh2 u du = sech2 u dx (cosh2 u — sinh2 u) dx cosh2 u cosh2
Page 7:  · tanhu = sech2 u dx Proof: d tanh u — dx dx dx Sinh u cosh u dx dx du sinhu dx du dx du du cosh u — sinhu dx cosh2 u du = sech2 u dx (cosh2 u — sinh2 u) dx cosh2 u cosh2
Page 8:  · tanhu = sech2 u dx Proof: d tanh u — dx dx dx Sinh u cosh u dx dx du sinhu dx du dx du du cosh u — sinhu dx cosh2 u du = sech2 u dx (cosh2 u — sinh2 u) dx cosh2 u cosh2
Page 9:  · tanhu = sech2 u dx Proof: d tanh u — dx dx dx Sinh u cosh u dx dx du sinhu dx du dx du du cosh u — sinhu dx cosh2 u du = sech2 u dx (cosh2 u — sinh2 u) dx cosh2 u cosh2
Page 10:  · tanhu = sech2 u dx Proof: d tanh u — dx dx dx Sinh u cosh u dx dx du sinhu dx du dx du du cosh u — sinhu dx cosh2 u du = sech2 u dx (cosh2 u — sinh2 u) dx cosh2 u cosh2
Page 11:  · tanhu = sech2 u dx Proof: d tanh u — dx dx dx Sinh u cosh u dx dx du sinhu dx du dx du du cosh u — sinhu dx cosh2 u du = sech2 u dx (cosh2 u — sinh2 u) dx cosh2 u cosh2
Page 12:  · tanhu = sech2 u dx Proof: d tanh u — dx dx dx Sinh u cosh u dx dx du sinhu dx du dx du du cosh u — sinhu dx cosh2 u du = sech2 u dx (cosh2 u — sinh2 u) dx cosh2 u cosh2
Page 13:  · tanhu = sech2 u dx Proof: d tanh u — dx dx dx Sinh u cosh u dx dx du sinhu dx du dx du du cosh u — sinhu dx cosh2 u du = sech2 u dx (cosh2 u — sinh2 u) dx cosh2 u cosh2
Page 14:  · tanhu = sech2 u dx Proof: d tanh u — dx dx dx Sinh u cosh u dx dx du sinhu dx du dx du du cosh u — sinhu dx cosh2 u du = sech2 u dx (cosh2 u — sinh2 u) dx cosh2 u cosh2
Page 15:  · tanhu = sech2 u dx Proof: d tanh u — dx dx dx Sinh u cosh u dx dx du sinhu dx du dx du du cosh u — sinhu dx cosh2 u du = sech2 u dx (cosh2 u — sinh2 u) dx cosh2 u cosh2
Page 16:  · tanhu = sech2 u dx Proof: d tanh u — dx dx dx Sinh u cosh u dx dx du sinhu dx du dx du du cosh u — sinhu dx cosh2 u du = sech2 u dx (cosh2 u — sinh2 u) dx cosh2 u cosh2
Page 17:  · tanhu = sech2 u dx Proof: d tanh u — dx dx dx Sinh u cosh u dx dx du sinhu dx du dx du du cosh u — sinhu dx cosh2 u du = sech2 u dx (cosh2 u — sinh2 u) dx cosh2 u cosh2
Page 18:  · tanhu = sech2 u dx Proof: d tanh u — dx dx dx Sinh u cosh u dx dx du sinhu dx du dx du du cosh u — sinhu dx cosh2 u du = sech2 u dx (cosh2 u — sinh2 u) dx cosh2 u cosh2
Page 19:  · tanhu = sech2 u dx Proof: d tanh u — dx dx dx Sinh u cosh u dx dx du sinhu dx du dx du du cosh u — sinhu dx cosh2 u du = sech2 u dx (cosh2 u — sinh2 u) dx cosh2 u cosh2
Page 20:  · tanhu = sech2 u dx Proof: d tanh u — dx dx dx Sinh u cosh u dx dx du sinhu dx du dx du du cosh u — sinhu dx cosh2 u du = sech2 u dx (cosh2 u — sinh2 u) dx cosh2 u cosh2
Page 21:  · tanhu = sech2 u dx Proof: d tanh u — dx dx dx Sinh u cosh u dx dx du sinhu dx du dx du du cosh u — sinhu dx cosh2 u du = sech2 u dx (cosh2 u — sinh2 u) dx cosh2 u cosh2
Page 22:  · tanhu = sech2 u dx Proof: d tanh u — dx dx dx Sinh u cosh u dx dx du sinhu dx du dx du du cosh u — sinhu dx cosh2 u du = sech2 u dx (cosh2 u — sinh2 u) dx cosh2 u cosh2

1 Elementary Functions - Elsevier.com · 2013. 12. 20. · 3. cos2 x−sin2 y =cos(x+y)cos(x−y) = cos2 y −sin2 x 4. sinh2 x+cosh2 y =cosh(x+y)cosh(x−y)=cosh2 x+sinh2 y 1.316

1 Elementary Functions - Elsevier.com · 2013. 12. 20. · 3. cos2 x−sin2 y =cos(x+y)cos(x−y) = cos2 y −sin2 x 4. sinh2 x+cosh2 y =cosh(x+y)cosh(x−y)=cosh2 x+sinh2 y 1.316

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DX-77/ DX-707

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Jvc Dx-j11 Dx-j21 Dx-j36 Sm

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R F u) = 0 x t dx = const.

R F u) = 0 x t dx = const.

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Jvc CA Dx t9, Dx t7, Dx t5

Jvc CA Dx t9, Dx t7, Dx t5