Is L(x) Continuously Differentiable and Does L(xy) = L(x) + L(y)?

[a1010711]

Homework Statement

let L(x)= integral from 1 to x: 1/t dt. Show that L:]0,infinity[--->R is continuously differentiable. show that L(xy)=L(x)+L(y) for all x,y in ]0,infinity[.

hint: let L1(x)=L(xy) and compute L'1(x)



you don't have to solve it for me, just lead me in the right direction please

 

[quantumdude]

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