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The derivative of a sum of two or more functions is the sum of the derivatives of each function
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$\frac{d}{dx}\left(64x^9\right)+\frac{d}{dx}\left(-125y^{12}\right)+\frac{d}{dx}\left(-240x^6y^4\right)+\frac{d}{dx}\left(300x^3y^8\right)$
Learn how to solve differential calculus problems step by step online. Factor the expression 64x^9-125y^12-240x^6y^4300x^3y^8. 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. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x^6 and g=y^4. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x^3 and g=y^8.