What is the instantaneous rate of change of f(x)=-2x^3-8x^2-x at x=2? Calculus Derivatives Instantaneous Rate of Change at a Point 1 Answer Bdub Apr 29, 2016 -57 Explanation: f'(x)=-6x^2-16x-1 f'(2)=-6(2)^2-16(2)-1 =-24-32-1 =-57 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 2092 views around the world You can reuse this answer Creative Commons License