Final Answer
Step-by-step Solution
Specify the solving method
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.
$\frac{d}{dx}\left(2\left(x-3\right)^3\right)+\frac{d}{dx}\left(-2x\left(x-6\right)\left(x-3\right)\right)$
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx(2(x-3)^3-2x(x-6)(x-3)) 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'. The derivative of the linear function is equal to 1.