Question Number 68871 by mathmax by abdo last updated on 16/Sep/19
![let f(x)=e^(−arctan((2/( (√(x^2 +1)))))) 1)calculate f^′ (x) 2)give the equation of tangente to graph C_f at point A(1,f(1))](https://www.tinkutara.com/question/Q68871.png)
$${let}\:{f}\left({x}\right)={e}^{−{arctan}\left(\frac{\mathrm{2}}{\:\sqrt{{x}^{\mathrm{2}} +\mathrm{1}}}\right)} \:\: \\ $$$$\left.\mathrm{1}\right){calculate}\:{f}^{'} \left({x}\right) \\ $$$$\left.\mathrm{2}\right){give}\:{the}\:{equation}\:{of}\:{tangente}\:{to}\:{graph}\:{C}_{{f}} {at}\:{point}\:{A}\left(\mathrm{1},{f}\left(\mathrm{1}\right)\right) \\ $$