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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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$\frac{d}{dx}\left(5x^3\right)+\frac{d}{dx}\left(6x^4\right)+\frac{d}{dx}\left(-9x^5\right)$
Learn how to solve problems step by step online. Find the derivative d/dx(5x^3+6x^4-9x^5) 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'. The derivative of the constant function (5) is equal to zero. The derivative of the constant function (6) is equal to zero.