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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=
Learn how to solve differential calculus problems step by step online.
$\frac{d}{dx}\left(x\right)\left(3\left(x-1\right)\left(x-2\right)+2x\left(x+7\right)\right)+x\frac{d}{dx}\left(3\left(x-1\right)\left(x-2\right)+2x\left(x+7\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of x(3(x-1)(x-2)+2x(x+7)). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=. The derivative of the linear function is equal to 1. 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.