If f(0) = 0 and f"(x) exists for all x>0, then show that f(x) 1 x f"(5), 0

Give step by step proper explanation

0, then show that f(x) 1 x f"(5), 0 < §="">< x.="" f'(x)="" –="" also="" deduce="" that="" if="" f"(x)="" is="" positive="" for="" positive="" values="" of="" x,="" then="" f(x)/x="" strictly="" increases="" as="" x="" increases.="" "/="">
Extracted text: If f(0) = 0 and f"(x) exists for all x>0, then show that f(x) 1 x f"(5), 0 < §="">< x.="" f'(x)="" –="" also="" deduce="" that="" if="" f"(x)="" is="" positive="" for="" positive="" values="" of="" x,="" then="" f(x)/x="" strictly="" increases="" as="" x="">