What is the derivative of (4x)^3 * (2x)^6?

Refer to explanation

Explanation:

We can rewrite this as follows

${\left(4 x\right)}^{3} \cdot {\left(2 x\right)}^{6} = 64 {x}^{3} \cdot 64 {x}^{6} = 4096 \cdot {x}^{9}$

Hence the derivative of $y = 4096 {x}^{9}$ is

$y ' = 4096 \cdot 9 \cdot {x}^{8} = 36864 \cdot {x}^{8}$