Question

Find the equation of the tangent line to the graph of the given function at the point with the indicated x-coordinate.
f(x) = x + 2/x; x = 2

Answer 1

\[f(x)=\frac{x+2}{x}\]
\[f'(x)=\frac{-2}{x^2}\]
\[f'(2)=-\frac{1}{2}\] is your slope, and your point is
\[(2,2)\] and point slope formula give the answer

Answer 2

Wait let me rewrite that equation.

Answer 3

f(x) = x + (2/x); x = 2

Answer 4

well... same idea, different answer

Answer 5

My answer was y=-x+5 but it was incorrect.

Answer 6

f prime of x = 1 + (-2/x^2) right?

Answer 7

\[f'(x)=1-\frac{2}{x^2}\]
\[f'(2)=1-\frac{1}{2}=\frac{1}{2}\] now use point slope with
\[(2,3)\]

Answer 8

Oh I see. I plugged in one instead of 2.

Answer 9

.5x+4?