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The derivative of a sum of two or more functions is the sum of the derivatives of each function
Learn how to solve differential calculus problems step by step online.
$\frac{d}{dx}\left(yx^2\right)+\frac{d}{dx}\left(-11xy\right)$
Learn how to solve differential calculus problems step by step online. Factor the expression yx^2-11xy. 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=y and g=x^2. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x and g=y.