   Chapter 11, Problem 35RE 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 33-40, find all values of x (if any) where the tangent line to the graph of the given equation is horizontal. y = x 2 + 2 x

To determine

To calculate: The values of x (if any) where the tangent line to the graph of function y=x2+2x is horizontal.

Explanation

Given Information:

The provided function is y=x2+2x.

Formula used:

Sum and difference rule of the derivative is [f±g](x)=f(x)±g(x).

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

The slope of the tangent of the graph f(x) at the point (a,b) is given by f(a).

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

Calculation:

Consider the function, y=x2+2x

Find the slope of the tangent of the graph of the function y=x2+2x by determining the derivative of the function.

Convert the function in power form,

y=x2+2x1

Apply sum rule of derivative to the function y=x2+2x1 with respect to x,

dydx=ddx(x2)+ddx</

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