   Chapter 12.5, Problem 54E

Chapter
Section
Textbook Problem
1 views

# Maximum Curvature In Exercises 49-54, (a) find the point on the curve at which the curvature is a maximum and (b) find the limit of the curvature as x → ∞ . y = e x

(a)

To determine

To Calculate: The point on the curvature y=ex at which the curvature is maximum of the function,.

Explanation

Given:

The equation of the curve, y=ex.

Formula Used:

The curvature is found by the formula,

K=|y|[1+(y)2]32

Calculation:

Consider the equation of the curve,

y=ex

Differentiate the above equation with respect to y by the use of ddaea=ea, to get

The curvature of the curve is given by,

K=|y|[1+(y)2]32=ex[1+(ex)2]32

The maximum point on the curvature is given by,

dKdx=0ddx(ex[1+(ex)2

(b)

To determine

To Calculate: The limit of the curvature when x.

### 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

#### Find more solutions based on key concepts 