what is the best estimate for the instiatneous rate of change for the function f(x)= 3/x at the point x=1/2?

Question

A. -3/4
B. -3/2
C. -12
D. 12

Answer 1

one estimate would be (f(3/4)-f(1/4))/(3/4 - 1/4) = -16
So, I'd guess -12

of course, the actual value is -3/x^2, which is indeed -12, but you asked for an estimate.