a1010711
Feb28-09, 06:17 PM
1. The problem statement, all variables and given/known data
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 dont have to solve it for me, just lead me in the right direction please
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 dont have to solve it for me, just lead me in the right direction please