CURRENT OBJECTIVE Find the derivative of a natural logarithmic function Question Find the derivative of $f(x) = -2x^{-3} \cdot \ln(x + x^{-1})$.
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This function is a product of two functions: $u(x) = -2x^{-3}$ and $v(x) = \ln(x + x^{-1})$. We will use the product rule for differentiation, which states that if $f(x) = u(x)v(x)$, then $f'(x) = u'(x)v(x) + u(x)v'(x)$. Show more…
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