For which value of x is the average rate of change equal to the instantaneous rate of change? The average rate of change for f(x)=x^2+4x−6 on the interval [1,3] is 8. I am not interested in final answer but more how to get there. I am going through calculus right now and already know about derivatives and rate of change. My problem is how to get this word problem into math language and try to solve it. Inst. rate of change is derivative when lim approaches 0 average f(x+h)−f(x) divided by h.

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