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# FP2 differentiation and other Watch

1. q6
a)

y=a^2sinh^-1(x/a)+ x{\sqrt{a^2+x^2}

dy/dx= k{\sqrt{a^2+x^2}
find k.

i know that sinhx dy/dx = 1/{\sqrt{x^2+a^2}
then i dont know what to do

b)a curve has equation y=a^2sinh^-1 x+ x{\sqrt{1+x^2}. the length of the arc of curve between the point where x=0 and x=1 is denoted by L. show that L=(5ln5+12)/8

really need help with this thanks.

edit: latex gave me error, sorry, will be harder to see the question now

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Updated: December 6, 2010
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