   Chapter 11.3, Problem 40E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# If  x − x e y = 3 , find  d y / d x .

To determine

To calculate: The value of dydx for the provided equation xxey=3.

Explanation

Given Information:

The provided equation is, xxey=3.

Formula used:

When y is an implied function of x, obtain dydx by differentiating both sides of the equation with respect to x and then algebraically solve for dydx.

According to the product rule of derivatives,

ddx(uv)=udvdx+vdudx

According to the chain rule, if f and g are differentiable functions with y=f(u) and u=g(x), then y is a differentiable function of x,

dydx=dydududx

Calculation:

Consider the provided equation,

xxey=3

First, take the derivative of both sides of the equation with respect to x as,

ddx(xxey)=ddx(3)

Now use the product rule of derivatives,

ddx(uv)=udvdx+vdudx

To obtain the derivative of xey

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### What is the lowest score in the following distribution?

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

#### Expand each expression in Exercises 122. (y1y)(y+1y)

Finite Mathematics and Applied Calculus (MindTap Course List)

#### Find the area of the shaded region.

Single Variable Calculus: Early Transcendentals, Volume I

#### True or False:

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 