Final Answer
$\frac{2x}{y}$
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Step-by-step Solution
Problem to solve:
$\frac{d}{dx}\left(\frac{x^2}{y}\right)$
Specify the solving method
1
The derivative of a function multiplied by a constant ($\frac{1}{y}$) is equal to the constant times the derivative of the function
$\frac{1}{y}\frac{d}{dx}\left(x^2\right)$
2
The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$
$\frac{2x}{y}$
Final Answer
$\frac{2x}{y}$