What is the average rate of change of the function

Colten Welch

Colten Welch

Answered question

2022-04-19

What is the average rate of change of the function f(x)=sinx on the interval [0,π2]?

Answer & Explanation

cab65699m

cab65699m

Beginner2022-04-20Added 14 answers

The average rate of change of a function f(x) on the interval [a,b] is equivalent to the slope of the secant line connecting those two points on the function, that is:
average rate of change =f(b)f(a)ba
So, the average rate of change of f(x)=sinx on [0,π2] is
sin(π2)sin(0)π20=10π2=1π2=2π

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