Exercise
$\frac{d}{dx}\left(2\left(x^2+3\right)^3x\right)$
Step-by-step Solution
Learn how to solve one-variable linear equations problems step by step online. Find the derivative of 2(x^2+3)^3x. 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', where f=\left(x^2+3\right)^3 and g=x. The derivative of the linear function is equal to 1. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}.
Find the derivative of 2(x^2+3)^3x
Final answer to the exercise
$14x^{6}+90x^{4}+162x^2+54$