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Derive the function y+xy^3*3+x^2=(1-1x)/x with respect to x

\frac{d}{dx}\left(x^2+y+3x y^3=\frac{1-x}{x}\right)

Step by step solution

Problem

$\frac{d}{dx}\left(x^2+y+3x y^3=\frac{1-x}{x}\right)$

Show full step-by-step solution

Answer

$\frac{d}{dx}\left(3y^3x\right)+2x=\frac{-1}{x^{2}}$

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$\frac{d}{dx}\left(x^2+y+3x y^3=\frac{1-x}{x}\right)$

Main topic:

Differential calculus

Used formulas:

3. See formulas

Time to solve it:

0.31 seconds