   Chapter 11.3, Problem 44E ### 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

# Find the slope of the line tangent to the curve x e y = 3 x 2 + y − 24  at (3,0) .

To determine

To calculate: The slope of the tangent line to the curve xey=3x2+y24 at (3,0).

Explanation

Given Information:

The provided equation of the curve is, xey=3x2+y24 and point is (3,0).

Formula used:

The slope of tangent to a curve y=f(x) at point (x,y) is given by the derivative of the curve at that point.

According to the product rule of derivatives,

ddx(uv)=udvdx+vdudx

Calculation:

Consider the provided equation of curve,

xey=3x2+y24

Now, find the derivative dydx from xey=3x2+y24 by taking the derivative term by term on both sides of the equation as,

ddx(xey)=ddx(3x2)+ddx(y)ddx(24)

Now, use the product rule,

ddx(uv)=udvdx+vdudx

To obtain the derivative of xey as,

### 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

#### If f(x) + x2 [f(x)]3 = 10 and f(1) = 2, find f(1).

Single Variable Calculus: Early Transcendentals, Volume I

#### Evaluate the integral. 23. tan2xdx

Single Variable Calculus: Early Transcendentals

#### True or False: If F is conservative, then curl F = 0.

Study Guide for Stewart's Multivariable Calculus, 8th

#### Define fraud and explain the safeguards that exist to prevent it.

Research Methods for the Behavioral Sciences (MindTap Course List) 