Question

differentiate y=4x√3x²-8x

Answer 1

Okay, here we have this:

Considering the provided function, we are going to perform the requested operation, so we obtain the following:

$\begin{gathered} y=4x\sqrt{3}x^2-8x \\ \\ y=4\sqrt{3}x^3-8x \\ \\ \frac{dy}{dx}=\frac{d}{dx}(4\sqrt{3}x^3)-\frac{d}{dx}(8x) \\ \\ \frac{dy}{dx}=12\sqrt{3}x^2-8 \end{gathered}$

Finally we obtain that dy/dx is equal to: 12sqrt(3)x^2-8