Final answer to the problem
Step-by-step Solution
Specify the solving method
Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=
Learn how to solve problems step by step online.
$\frac{d}{dx}\left(\left(\frac{y^2}{x}\right)^2\right)\tan\left(y\right)+\left(\frac{y^2}{x}\right)^2\frac{d}{dx}\left(\tan\left(y\right)\right)$
Learn how to solve problems step by step online. Find the derivative using the product rule d/dx(((y^2)/x)^2tan(y)). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. The derivative of the constant function (\tan\left(y\right)) is equal to zero.