   Chapter 10.5, Problem 73E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

In Exercises 73 and 74, use technology to graph the derivative of the given function for the given range of values of x. Then use your graph to estimate all values of x (if any) where the tangent line to the graph of the given function is horizontal. Round answers to one decimal place. [HINT: See Example 4.] f ( x ) = x 4 + 2 x 3 − 1 ;      − 2 ≤ x ≤ 1

To determine

To graph: The function f(x)=x4+2x31 such that 2x1 by the use of Ti-83 calculator and then find the value for x where the slope of the tangent will be horizontal or parallel to the xaxis.

Explanation

Given Information:

The provided function is, f(x)=x4+2x31.

Graph:

To graph the function f(x)=x4+2x31 such that 2x1 on Ti-83 calculator follow the steps:

Step1. Press “ON” button.

Step2. Press the “MATH” key and then press “8” key button.

Step3. Enter the equation as, Y1=nDeriv(X^4+2X^31,X,X)

Step4. Press the “WINDOW” key and set the values as,

Xmin=2Xmax=1Xscl=0

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