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Derive the function y=-12/(x^2)+2/(3x^3)+3/x with respect to x

\frac{d}{dx}\left(y=\frac{3}{x}-\frac{2}{x^2}+\frac{2}{3x^3}\right)

Step by step solution

Problem

$\frac{d}{dx}\left(y=\frac{3}{x}-\frac{2}{x^2}+\frac{2}{3x^3}\right)$

Show full step-by-step solution

Answer

$0=\frac{d}{dx}\left(\frac{\frac{2}{3}}{x^3}\right)+\frac{d}{dx}\left(\frac{-2}{x^2}\right)+\frac{d}{dx}\left(\frac{3}{x}\right)$
$\frac{d}{dx}\left(y=\frac{3}{x}-\frac{2}{x^2}+\frac{2}{3x^3}\right)$

Main topic:

Differential calculus

Used formulas:

2. See formulas

Time to solve it:

0.25 seconds