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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.
$\frac{d}{dx}\left(x^2\right)+\frac{d}{dx}\left(2xy\right)+\frac{d}{dx}\left(-y^2\right)+\frac{d}{dx}\left(x\right)$
Learn how to solve differential calculus 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. The derivative of the constant function (-y^2) is equal to zero. The derivative of the linear function is equal to 1. The derivative of a function multiplied by a constant (2) is equal to the constant times the derivative of the function.