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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=
Learn how to solve definition of derivative problems step by step online.
$\frac{d}{dx}\left(x^2-y^2\right)\left(y^8+x^2y^2+x^4\right)+\left(x^2-y^2\right)\frac{d}{dx}\left(y^8+x^2y^2+x^4\right)$
Learn how to solve definition of derivative problems step by step online. Factor the expression (x^2-y^2)(y^8+x^2y^2x^4). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function.