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91Ó°ÊÓ

find the average rate of change of f from 0toπ6

f(x)=secx

.

Short Answer

Expert verified

the average rate of change of f(x)=secx from0toπ6is0.9π

Step by step solution

01

Step 1. Given data

The given function is

f(x)=secx

The given range isa,b=0,Ï€6

02

Step 2. average rate of change 

The average rate of change f

f(b)-f(a)b-a=sec(b)-sec(a)b-a=secπ6-sec(0)π6-0=1.15-1π6=6(0.15)π=0.9π

So average rate of change is0.9Ï€

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