Derivatives and tangent lines.

[Rumor]

One more problem I need help with:

"If you zoom in on the part of the graph of y= 32/(square root of x) - 2x^2 +1 where x=4, what would be the equation of the line that the graph would eventually look like?"

I'm guessing that this problem is asking for a tangent line?
Could someone help me figure out how to differentiate the first term, please?

 

[BigGlenntheHeavy]

What's with the differentation? As x increases without bounds, 32/?x approaches zero, hence f(x) = 32/?x-2x^2+1 approaches g(x)=-2x^2+1