Question

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

Answer 1

Explanation:

lim 1 / (x + h +1) - 1 (x + 1)

x--> 0

lim -h/ (x + h +1)(x + 1)

x--> 0

lim -h/ (x^2 + 2x + hx + h + 1)

x--> 0

-1/ (x^2 + 2x + 1)