×
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 4.5 - Problem 5e
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 4.5 - Problem 5e

×

# Given a function f differentiable on its domain, write and

ISBN: 9780321570567 2

## Solution for problem 5E Chapter 4.5

Calculus: Early Transcendentals | 1st Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants

Calculus: Early Transcendentals | 1st Edition

4 5 1 286 Reviews
23
1
Problem 5E

Given a function f differentiable on its domain, write and explain the relationship between the differentials d x and d y.

Step-by-Step Solution:
Step 1 of 3

SOLUTION STEP 1 Given f is differentiable on its domain.Let f be differentiable on an interval containing x .Thus f(x) exists on its domain. The relationship between the differentials dx and dyis given by the corresponding change in f which can be written as dy = f(x)dx Where dx and dy are called the differential differences ,ie a very very small change in x and y respectively.

Step 2 of 3

Step 3 of 3

## Discover and learn what students are asking

Calculus: Early Transcendental Functions : Differential Equations: Growth and Decay
?In Exercises 1-10, solve the differential equation. $$y^{\prime}=\frac{5 x}{y}$$

Calculus: Early Transcendental Functions : Conservative Vector Fields and Independence of Path
?In Exercises 5 - 10, determine whether the vector field is conservative. $$\mathbf{F}(x, y)=15 x^{2} y^{2} \mathbf{i}+10 x^{3} y \mathbf{j}$$

Calculus: Early Transcendental Functions : Second-Order Nonhomogeneous Linear Equations
?Verifying a Solution In Exercises 1-4,verify the solution of the differential equation. Solution D

Statistics: Informed Decisions Using Data : Inference about Two Population Standard Deviations
?In Problems 9–14, assume that the populations are normally distributed. Test the given hypothesis. 14. s1 7 s2 at the a = 0.05 level of signi

#### Related chapters

Unlock Textbook Solution