Practice: Differentiation Of Logarithmic Equations

Calculus Level 2

\[f(x)=\ln \left( \sqrt{x^{2}-2} \right)\]

If \(f'(7)\) can be expressed in the form \(\dfrac{a}{b}\) where \(a\) and \(b\) are coprime positive integers, find \(a+b\).

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