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Chapter 3: Q. 3 (page 136)

Find the average rate of change of f(x)=3x2-2from 2 to 4.

Short Answer

Expert verified

The average rate of change is鈭�y鈭�x=18.

Step by step solution

01

Step 1. Given Information 

Given thatf(x)=3x2-2,andx=2tox=4.

02

Step 2. Solution

The average rate of change of function f(x)from x=x1to x=x2is: -

鈭�y鈭�x=f(x2)-f(x1)x2-x1.

Now, the average rate of function f(x)=3x2-2from x=2to x=4is :-

鈭�y鈭�x=f(4)-f(2)4-2鈭�y鈭�x=(3脳42-2)-(3脳22-2)2鈭�y鈭�x=(48-2)-(12-2)2鈭�y鈭�x=362鈭�y鈭�x=18.

03

Step 3. Final Answer

Hence,鈭�y鈭�x=18.

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