How to find instantaneous rate of change for f(x) = 3/x when x=2? Calculus Derivatives Instantaneous Rate of Change at a Point 1 Answer Konstantinos Michailidis May 16, 2016 The instantaneous rate of change of f(x) is equal to the derivative of f(x) at x=2 Hence (df(x)/dx)_(x=2)=(-3/x^2)_(x=2)=-3/2^2=-3/4 Answer link Related questions How do you find the instantaneous rate of change of a function at a point? What is Instantaneous Rate of Change at a Point? How do you estimate instantaneous rate of change at a point? How do you find the instantaneous rate of change of f (x)= x ^2 +2 x ^4 at x=1? How do you find the instantaneous rate of change of f(t)=(2t^3-3t+4) when t=2? How do you find the instantaneous rate of change of w with respect to z for w=1/z+z/2? Can instantaneous rate of change be zero? Can instantaneous rate of change be negative? How do you find the instantaneous rate of change at a point on a graph? How does instantaneous rate of change differ from average rate of change? See all questions in Instantaneous Rate of Change at a Point Impact of this question 1513 views around the world You can reuse this answer Creative Commons License