Answer:
-a/(x+b)²
Step-by-step explanation:
Given the function y = a/x+b
To differentiate, we will use the quotient rule.
dy/dx = (Vdu/dx-Udv/dx)/V²
Let u = a
v = x+b
Note that differential of a constant is zero
du/dx = 0
dv/dx = 1
Substitute
dy/dx = (x+b)0 - a (1)/(x+b)²
dy/dx = 0 - a/(x+b)²
dy/dx = -a/(x+b)²
