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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 sum rule of differentiation problems step by step online.
$\frac{d}{dx}\left(\sin\left(x\right)\ln\left(x\right)\right)+\frac{d}{dx}\left(-x^2\cos\left(x\right)\right)$
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx(sin(x)ln(x)-cos(x)x^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 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'. Simplify the product -(x^2\frac{d}{dx}\left(\cos\left(x\right)\right)+\frac{d}{dx}\left(x^2\right)\cos\left(x\right)).