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 · 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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  •  · 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
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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

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