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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 sum rule of differentiation problems step by step online.
$\frac{d}{dx}\left(x^2\right)+\frac{d}{dx}\left(2xy\right)+\frac{d}{dx}\left(-y^2\right)+\frac{d}{dx}\left(x\right)$
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx(x^2+2xy-y^2x) using the sum rule. The derivative of a sum of two or more functions is the sum of the derivatives of each function. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x and g=2y. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=y and g=2. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=-1 and g=y^2.