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# Find the derivative of x^3y*5+3y^4=xy^2*pi

### Videos

$15y\cdot x^{2}=\pi y^2$

## Step-by-step explanation

Problem

$\frac{d}{dx}\left(5x^3\cdot y+3y^4=\pi x y^2\right)$
1

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

$\frac{d}{dx}\left(3y^4+5y\cdot x^3\right)=\frac{d}{dx}\left(\pi y^2x\right)$

$15y\cdot x^{2}=\pi y^2$
$\frac{d}{dx}\left(5x^3\cdot y+3y^4=\pi x y^2\right)$

### Main topic:

Differential calculus

~ 0.24 seconds