Identify each expression that represents the slope of a tangent to the curve y=1/x+1 at any point (x, y) .

Slope of a tangent to the curve =

Step-by-step explanation:

Given - y = 1/x+1

To find - Identify each expression that represents the slope of a tangent to the curve y=1/x+1 at any point (x,y) .

Proof -

We know that,

Slope of tangent line = f'(x) =

We have,

f(x) = y =

So,

f(x+h) =

Now,

Slope = f'(x)

And

∴ we get

Slope of a tangent to the curve =