# Math Help - Honestly, I'm not sure what topic within calculus this question falls under.

1. ## Honestly, I'm not sure what topic within calculus this question falls under.

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 not even sure what exactly I'm supposed to do to answer this question.
"If you zoom in on the part of the graph of $y= \frac{32}{\sqrt{x}} - 2x^2 +1$ where $x=4$, what would be the equation of the line that the graph would eventually look like?"
You are trying to find the equation of the tangent line at $x=4$. Find the derivative, plug in $4$ to get the slope, and then use point-slope form to find the equation of the tangent line.