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

Derive the function x+y^2+y+x^2=xy with respect to x

Answer

$2x+1=y$

Step-by-step explanation

Problem

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

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

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

Unlock this step-by-step solution!

Answer

$2x+1=y$

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

Main topic:

Differential calculus

Used formulas:

5. See formulas

Time to solve it:

~ 0.23 seconds