functions...

f(x) is a function satisfying the following condition....

f(x)+f^'(x)+f^''(x)+f^'''(x) ...upto n terms....= xⁿ

where f^'(x)=first derivative of x

f^''(x)=2nd derivative of x and so on....

Find the value of f(x) + f^'(x)1! + f^''(x)2!....upto n terms.... ?

7 Answers

xⁿ ??

1057

Ketan Chandak ·2012-02-01 16:44:11

my friend who gave me de problem said de answer is 0....
i cud find f(x) but couldnt proceed thereon....

pls post how did u find f(x)??

1057

Ketan Chandak ·2012-02-02 16:49:24

integrating both sides and putting the value of the sum again in the equation... :)

x^n

1057

Ketan Chandak ·2012-02-03 04:34:25

@vivek or fahood...
cud u explain your answer?

https://www.youtube.com/watch?v=CSjzlrL5hKA

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