FQB-31

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.

1 Answers

62
Lokesh Verma ·

this is very simple..

this will be given by

2f(x).f'(x) !!

2xlnx(1+lnx)

hence 4e

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