   Chapter 11.3, Problem 2E ### 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

# In Problems 1-6, find d y / d x at the given point without first solving for y. 3 x 2 − 10 y + 400 = 0  at (10,70)

To determine

To calculate: The value of dydx for the provided equation 3x210y+400=0 at (10,70).

Explanation

Given Information:

The provided equation is, 3x210y+400=0 and, the provided point is (10,70).

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.

Calculation:

Consider the provided equation,

3x210y+400=0

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

ddx(3x210y+400)=ddx(0)

Now, take the derivative term by term as,

6x10<

### 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

#### 8273

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

#### Use sets toshow that 06=0.

Mathematical Excursions (MindTap Course List)

#### If f(x) = 2e3x, f(x) = a) 2e3x b) 2xe3x c) 6e3x d) 6xe3x

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