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

Find the derivative of 2xyx^5*-3=3y^2-2

Answer

$2-15y\cdot x^{4}=0$

Step-by-step explanation

Problem

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

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

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

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Answer

$2-15y\cdot x^{4}=0$

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

Main topic:

Differential calculus

Used formulas:

4. See formulas

Time to solve it:

~ 0.26 seconds