Fx - 1 - 1-x- gx - 1-1 -fx - g-2 -

The correct option is B 1/25 g(x)=11+ 1+1x=x2x+1 ⇒ g'(x)=(2x+1) x(2)(2x+1)^2=1(2x+1)^2 ∴ g'(2)=125 ...

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Algebra of Derivatives

fx = 1 + 1/x;...

Question

$f (x) = 1 + \frac{1}{x}; g (x) = \frac{1}{1 + f (x)} \Rightarrow g^{'} (2) =$

\frac{1}{5}

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\frac{1}{25}

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5

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\frac{1}{16}

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