Question

Let \( f(x)=\frac{1}{\left(x^{2}-\frac{6}{x}\right)^{3}} \). Find \( f^{\prime}(x) \). \[ f^{\prime}(x)= \]

          Let \( f(x)=\frac{1}{\left(x^{2}-\frac{6}{x}\right)^{3}} \). Find \( f^{\prime}(x) \).
\[
f^{\prime}(x)=
\]

Let f(x)=(1)/((x^2-(6)/(x))^3). Find f^'(x).

f^'(x)=

Added by Domingo H.

Calculus Early Transcendentals

Howard Anton, Irl Bivens, Stephen Davis 9th Edition

Chapter 2

Instant Answer

Solved by Expert Diogo Caetano

Step 1

The given function is \( f(x)=\frac{1}{\left(x^{2}-\frac{6}{x}\right)^{3}} \). To simplify, first find a common denominator for the terms inside the parentheses. Since \(x^2\) and \(\frac{6}{x}\) have different bases, we can rewrite \(x^2\) as \(\frac{x^3}{x}\) to Show more…

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