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Step-by-step Solution

Derive the function y^3-3y+2x=0 with respect to x

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Answer

$false$

Step-by-step explanation

Problem to solve:

$\frac{d}{dx}\left(y^3-3y+2x=0\right)$
1

Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable

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

The derivative of the constant function is equal to zero

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

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Answer

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

Main topic:

Differential calculus

Used formulas:

4. See formulas

Time to solve it:

~ 0.74 seconds

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