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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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$\frac{d}{dx}\left(-4x^2\right)+\frac{d}{dx}\left(8x\right)+\frac{d}{dx}\left(-5\right)$
Learn how to solve problems step by step online. Find the derivative using the quotient rule f=-4x^2+8x+-5. 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 (-5) is equal to zero. The derivative of the linear function times a constant, is equal to the constant. The derivative of the linear function is equal to 1.