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Chapter 14: Q. 35 (page 897)

In Problems 33鈥�42, use a graphing utility to find the derivative of each function at the given number.
f(x)=-x3+1x2+5x+7at8

Short Answer

Expert verified

Derivative of f(x)=-x3+1x2+5x+7at 8isf'(8)鈮�-0.8588

Step by step solution

01

Step 1. Given information

Given function is

f(x)=-x3+1x2+5x+7

andx=8

02

Step 2. Derivative

Enter the function f(x)=-x3+1x2+5x+7and limit x=8in the derivative function of the graphing calculator

The graphing calculator shows that the derivative of the function isf'(8)鈮�-0.8588

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