People living at Mars, instead of using the usual definition of derivative D f(x), defined a new king of derivative, D*f(x) by the formula:
D*f(x)=Limit h------>0 f2(x+h)-f2(x)
___________
h
where f2x means [f(x)]2. If f(x)=xlnx then find the value of D*f(x) at x=e.
-
UP 0 DOWN 0 0 1
1 Answers
Lokesh Verma
·2009-03-15 08:54:51
this is very simple..
this will be given by
2f(x).f'(x) !!
2xlnx(1+lnx)
hence 4e