Final Answer
$2\left(\frac{1}{y}\right)x$
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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
$\frac{1}{y}\frac{d}{dx}\left(x^2\right)$
Learn how to solve quotient rule of differentiation problems step by step online.
$\frac{1}{y}\frac{d}{dx}\left(x^2\right)$
Learn how to solve quotient rule of differentiation problems step by step online. Find the derivative d/dx((x^2)/y). The derivative of a function multiplied by a constant (\frac{1}{y}) is equal to the constant times the derivative of the function. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Subtract the values 2 and -1.
Final Answer
$2\left(\frac{1}{y}\right)x$