Final answer to the problem
$\frac{1}{1+x}$
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Step-by-step Solution
How should I solve this problem?
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- Produit de binômes avec terme commun
- Méthode FOIL
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1
Apply the formula: $\frac{d}{dx}\left(\ln\left(x\right)\right)$$=\frac{1}{x}\frac{d}{dx}\left(x\right)$
$\frac{1}{1+x}\frac{d}{dx}\left(1+x\right)$
2
The derivative of a sum of two or more functions is the sum of the derivatives of each function
$\frac{1}{1+x}$
Final answer to the problem
$\frac{1}{1+x}$