Exercise
$\frac{d}{dx}\left(\left(x^2+2\right)\left(-3x^2+2x\right)\right)$
Step-by-step Solution
Learn how to solve combining like terms problems step by step online. Find the derivative of (x^2+2)(-3x^2+2x). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x^2+2 and g=-3x^2+2x. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of the linear function times a constant, is equal to the constant.
Find the derivative of (x^2+2)(-3x^2+2x)
Final answer to the exercise
$2x\left(-3x^2+2x\right)+\left(x^2+2\right)\left(-6x+2\right)$