   Chapter 11.1, Problem 69E 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 65–70, find all values of x (if any) where the tangent line to the graph of the given equation is horizontal. [HINT: The tangent line is horizontal when its slope is zero.] y = x + 1 x

To determine

To calculate: The values of x (if any) where the tangent line to the graph of function y=x+1x is horizontal

Explanation

Given Information:

The function is y=x+1x.

Formula used:

Sum rule of derivative is [f+g](x)=f(x)+g(x), where f(x) and g(x) are any two functions.

Power rule of a function y=xn is dydx=nxn1, where n is some constant.

Calculation:

Consider the function, y=x+1x

Find slope of tangent of graph y=x+1x by determining derivative of the function f(x).

Convert the function in power form,

y=x+x1

Apply sum rule of derivative to the function y=x+x1 with respect to x,

dydx=ddx(x)+ddx

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