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Find the average rate of change for f(x)=9x^2+3 over the interval [x,x+h].

Find the average rate of change for f(x)=9x^2+3 over the interval [x,x+h].
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Find the average rate of change for f(x)=9x^2+3 over the interval [x,x+h].

User Sanbornc
by
8.4k points

1 Answer

3 votes

Answer:


9h +18x

Explanation:


(f(x +h) -f(x))/(x+h -x) \\ (9(x +h)^2 +3 -(9x^2 +3))/(h) \\ (9(x^2 +2xh +h^2) +3 -9x^2 -3 )/(h) \\ (9x^2 +18xh +9h^2 +3 -9x^2 -3)/(h) \\ (9h^2 +18xh)/(h) \\ 9h +18x

User Montdidier
by
8.5k points
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