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91Ó°ÊÓ

Find the average rate of change off from 0toπ2.

role="math" localid="1646561352528" f(x)=cosx

Short Answer

Expert verified

The average rate of change of f(x)=cosxfrom0 to π2is-2π

Step by step solution

01

Step 1. Given data

The given function is

f(x)=cosx

The given interval is0,Ï€2

02

Step 2. The average rate of change

differentiate function

f(x)=cosxf'(x)=-sinx

Consider (a,b)=0,Ï€2

The average rate of change

localid="1646563509283" f(b)-f(a)b-a=f'π2-f'(0)π2-0=-sinπ2--sin(0)π2-0=-1-0π2=-2π=-2π

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