Find the rate of change for f(x) = 2 / (x+3) when x = 4

Answer 1

f(x) = 2/(x+3) = 2(x+3)^-1

f '(x) = (-1)(2)(x+3)^-2 = -2/(x+3)²

When x = 4, f '(4) = -2/(4+3)² = -2/49

So the rate of change is -2/49