Find the derivative $\frac{d}{dx}\left(e^{yx^2}-xy^2\right)$ using the sum rule

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$\frac{d}{dx}\left(e^{yx^2}\right)+\frac{d}{dx}\left(-xy^2\right)$

Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx(e^(yx^2)-xy^2) 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 a function multiplied by a constant (-1) is equal to the constant times the derivative of the function. The derivative of a function multiplied by a constant (y^2) is equal to the constant times the derivative of the function. The derivative of the linear function is equal to 1.