   Chapter 11.1, Problem 67E 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 = 2 x + 8

To determine

To calculate: The values of x (if any) where the tangent line to the graph of function y=2x+8 is horizontal.

Explanation

Given Information:

The function is y=2x+8.

Formula used:

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

Constant multiple rule of derivative is f(cx)=cf(x), where c is any constant.

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

Derivative of a constant is 0.

Calculation:

Consider the function, y=2x+8

Find slope of tangent of graph y=2x+8 by determining derivative of the function f(x)

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