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Derivative of $$$\frac{1}{x^{3}}$$$
The calculator will find the derivative of $$$\frac{1}{x^{3}}$$$, with steps shown.
Related calculator: Derivative Calculator
Solution
Apply the power rule $$$\frac{d}{dx} \left(x^{n}\right) = n x^{n - 1}$$$ with $$$n = -3$$$:
$${\color{red}\left(\frac{d}{dx} \left(\frac{1}{x^{3}}\right)\right)} = {\color{red}\left(- \frac{3}{x^{4}}\right)}$$Thus, $$$\frac{d}{dx} \left(\frac{1}{x^{3}}\right) = - \frac{3}{x^{4}}$$$.
Answer
$$$\frac{d}{dx} \left(\frac{1}{x^{3}}\right) = - \frac{3}{x^{4}}$$$A