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1) show that tanh-1(x) = 1/2 ln (1+x/1-x) 2) show that a) d/dx (cosh-1(x)) = 1/sqrt...

1) show that

tanh-1(x) = 1/2 ln (1+x/1-x)

2) show that

a) d/dx (cosh-1(x)) = 1/sqrt x2-1

b) d/dx (tanh-1(x)) = 1/1-x2

3) verify that y = A cosh(3x) + B sinh(3x) is a solution to the equation y''-9y = 0

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