Question

The slope of a function f at any point (x,y) is y/(2x^2). The point (2,1) is on the graph of f. Find the tangent line to the grpah f at x=2.

Answer 1

You need a function... what is the function?

Answer 2

What is\[
\frac{y}{2x^2}
\]supposed to be?

Answer 3

Sorry, didn't type it out word for word my first time around.

Answer 4

Fixed it now.

Answer 5

First find the slope: \[
f(x,y) = y/(2x^2) \\
m =f(2,1) = ? \\
\]Here is the equation for a tangent line at \((x_0,y_0)\) with slope \(m\)\[
y-y_0=m(x-x_0)
\]