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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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$\frac{d}{dx}\left(\left(2x+y\right)^2\right)+\frac{d}{dx}\left(\left(x-2y\right)^2\right)+\frac{d}{dx}\left(-5\left(x+y\right)\left(x-y\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (2x+y)^2+(x-2y)^2-5(x+y)(x-y). 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=x+y and g=x-y. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}.