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\frac{d}{dx}\left(5x^3 y^2+3y^5=\pi +x\sqrt{3}\right)

Derive the function x^3y^2*5+3y^5=pi+x3^0.5 with respect to x

Answer

$15y^2x^{2}=\sqrt{2}$

Step-by-step explanation

Problem

$\frac{d}{dx}\left(5x^3 y^2+3y^5=\pi +x\sqrt{3}\right)$
1

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

$\frac{d}{dx}\left(3y^5+5y^2x^3\right)=\frac{d}{dx}\left(\sqrt{2}x+\pi \right)$

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Answer

$15y^2x^{2}=\sqrt{2}$

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$\frac{d}{dx}\left(5x^3 y^2+3y^5=\pi +x\sqrt{3}\right)$

Main topic:

Differential calculus

Used formulas:

4. See formulas

Time to solve it:

~ 0.26 seconds