let-f-x-ln-1-x-2-x-2-3-determine-f-n-x-and-developp-f-at-integr-serie-

Question Number 120288 by Bird last updated on 30/Oct/20

l e t f (x) = \frac{l n (1 + x^{2})}{x^{2} + 3}

d e t e r m i n e f^{(n)} (x)

a n d d e v e l o p p f a t i n t e g r s e r i e

Commented by TITA last updated on 30/Oct/20

i s i t f^{^{'}} (x) ?

Answered by TITA last updated on 30/Oct/20

f^{^{'}} (x) = \frac{(x^{2} + 3) (\frac{2 x}{1 + x^{2}}) - [(\ln (1 + x^{2}) (2 x)]}{{(x^{2} + 3)}^{2}}

f^{'} (x) = \frac{[(x^{2} + 3) (2 x)] - [(1 + x^{2}) (\ln (1 + x^{2})) (2 x)]}{(1 + x^{2}) {(x^{2} + 3)}^{2}}

Commented by Bird last updated on 30/Oct/20

n o f^{(n)} (n^{e m e} d e r i v s t i v e!)

Facebook Tweet Pin