Final Answer
$8x^3+72x^2+192x+128$
Got another answer? Verify it here!
Step-by-step Solution
Specify the solving method
1
Simplifying
$\frac{d}{dx}\left(2\left(x^3+8x^2+16x\right)\left(x+4\right)\right)$
Learn how to solve equations problems step by step online.
$\frac{d}{dx}\left(2\left(x^3+8x^2+16x\right)\left(x+4\right)\right)$
Learn how to solve equations problems step by step online. Find the derivative of (x^3+8x^216x)(x+4)+(x^3+8x^216x)(x+4). Simplifying. 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=. The derivative of a sum of two or more functions is the sum of the derivatives of each function.
Final Answer
$8x^3+72x^2+192x+128$