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

$$letf\left(x\right)=\frac{ln(1+x^2)}{x^2+3}$$$$determine{f}^{\left(n\right)}\left(x\right)$$$$anddeveloppfatintegrserie$$

Commented by TITA last updated on 30/Oct/20

$$isit{f}^{{}^{\prime }}\left(x\right)?$$

Answered by TITA last updated on 30/Oct/20

$$f^{{}^{\prime }}\left(x\right)=\frac{(x^2+3)\left(\frac{2x}{1+x^2}\right)-[\left(\ln (1+x^2)\left(2x\right)\right]}{{(x^2+3)}^2}$$$$f^{\prime }\left(x\right)=\frac{\left[(x^2+3)\left(2x\right)\right]-\left[(1+x^2)\left(\ln (1+x^2)\right)\left(2x\right)\right]}{(1+x^2){(x^2+3)}^2}$$

Commented by Bird last updated on 30/Oct/20

$$no{f}^{\left(n\right)}(n^{eme}derivstive!)$$

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