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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.
$\frac{d}{dx}\left(x^5\right)+\frac{d}{dx}\left(5x^4\right)+\frac{d}{dx}\left(-2x^3\right)+\frac{d}{dx}\left(-10x^2\right)+\frac{d}{dx}\left(x\right)+\frac{d}{dx}\left(5\right)$
Learn how to solve differential calculus problems step by step online. Factor the expression x^5+5x^4-2x^3-10x^2x+5. 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 (-2) is equal to zero.