How do you find the instantaneous slope of #y=x^3# at x=2? Calculus Derivatives Instantaneous Rate of Change at a Point 1 Answer Alan N. Aug 18, 2016 Slope of #y=x^3# at #x=2# is #12 # Explanation: #y=x^3# #dy/dx = 3x^2# (Power rule) Since #dy/dx# is continious, it represets the slope of #y# for all #x# Therefore, Slope of #y# and #x=2# #= 3xx2^2 = 12# 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 3162 views around the world You can reuse this answer Creative Commons License