How do you calculate the derivative of #y=sqrt(4x^3)#?
You can write it as:
The "best" and "easiest" answer is the one given by Gio. If you want to make your life more challenging and more complicated and you'd like to spend a little more time doing things the longs way. (Or you just like using the chain rule), the you could do the following:
Now we get to do a bunch of algebra to simplify the answer:
It's not the "wrong" way to find the derivative, but many people find it more complicated and more vulnerable to error.