How do you find the instantaneous slope of #y=4# at x=100? Calculus Derivatives Instantaneous Rate of Change at a Point 1 Answer Astralboy Apr 15, 2017 #0# Explanation: Take the derivative of #y=4#. The derivative of any constant is #0#. #dy/dx=0# There's no #x# value to plug into. For every value of #x#, the instantaneous slope is #0#. This includes #x=100# 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 1612 views around the world You can reuse this answer Creative Commons License