What is the derivative of $f(x)=ln (x^2+2)$ ?

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Answer 1 · 2016-05-12T07:46:15

$(df)/dx=(2x)/(x^2+2)$

Derivative of $f(x)=ln(x^2+2)$ can be found using chain formula,

as $f(x)=ln(g(x))$ and $g(x)=(x^2+2)$

Hence, $(df)/dx=1/(x^2+2)xx2x=(2x)/(x^2+2)$

What is the derivative of f(x)=ln (x^2+2)f(x)=ln (x^2+2)?