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 1813 views around the world You can reuse this answer Creative Commons License