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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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$\frac{d}{dx}\left(8x^3\right)+\frac{d}{dx}\left(3750xy^2\right)+\frac{d}{dx}\left(-15625y^3\right)+\frac{d}{dx}\left(-300yx^2\right)$
Learn how to solve problems step by step online. Factor the expression 8x^3+3750xy^2-15625y^3-300yx^2. 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'. The derivative of the linear function is equal to 1.