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 + 1/x; x = 3

Answer 1

slope = 1 -1/x^2=8/9
y=8/9 x +c
For x =3, y=10/3
10/3=8/9 * 3 +c
c=2/3
so, y=8/9 x + 2/3

Answer 2

or, 9y =8x+6