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\frac{d}{dx}\left(\left(-1\right)\cdot \frac{x^2}{y^2}\right)

Find the derivative of -1(x^2)/(y^2)

Answer

$\frac{-2x}{y^{2}}$

Step-by-step explanation

Problem

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

Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=-1$ and $g=\frac{x^2}{y^2}$

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

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Answer

$\frac{-2x}{y^{2}}$

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

Main topic:

Differential calculus

Used formulas:

4. See formulas

Time to solve it:

~ 0.65 seconds