BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 3.1, Problem 33E
To determine

To find:

The differential equation of the given equation

Expert Solution

Answer to Problem 33E

The equation is f(x)=ex5

Explanation of Solution

Given:

The function is

  f(x)=ex5x

Concept used:

Definition of the differentiation:-Differentiation is the action of computing a derivative

The derivative of a function y=f(x) of a variable x is a measure of the rate at which the value y of the function changes with respect to x

Calculation:

The function

  f(x)=ex5x...................(1)

The derivative of a function

  y=f(x)y=f(x)=dydx

Differentiating the equation (1) with respect to x

  dydx=ddx(ex5x)dydx=ex5f(x)=ex5

Draw the table

  y=f(x)=ex5x

Test one point in each of the region formed by the graph

If the point satisfies the function then shade the entire region to denote that every point in the region satisfies the function

    xaxis1.60.252.540
    yaxis3.06001

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 3.1, Problem 33E

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