Question

For the function f(x)=1/x, what is the equation of the tangent line at x=1.

Answer 1

f ' (x) = -1/x^2
f ' (1) = -1 = Slope
f (1) = 1 giving us coordinate (1,1)
So our slope is Y-1=-1(X-1)

Answer 2

simplified makes it y=-x+2?

Answer 3

Yep!

Answer 4

thanks!