# The various possible shape with help of graph.

### Single Variable Calculus: Concepts...

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

### Single Variable Calculus: Concepts...

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

#### Solutions

Chapter 4, Problem 62RE
To determine

## To explain: The various possible shape with help of graph.

Expert Solution

### Explanation of Solution

Given information:

The equation is f(x)=x4+x3+cx2 .

Calculation:

Consider the equation.

f(x)=x4+x3+cx2

Differentiate above equation.

f(x)=4x3+3x2+2cx

Substitute f(x)=0 in above equation.

4x3+3x2+2cx=0x(4x2+3x+2c)=0x=0,3±932c8

Differentiate above equation.

f(x)=12x2+6x+2c

Substitute f(x) in above equation.

12x2+6x+2c=0x=3±924c12

Since, the inflection point depends on discriminant.

c=0,38

The graph is shown below.

### Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!