Question: Show that the function f (x) = e -x2/2 has inflection points at x = 1.

Show that the function f (x) = e-x2/2 has inflection points at x = ±1.

Step by Step Solution

★★★★★

3.41 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

fx e x2 f x x ex... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Applied Calculus Questions!

Q:

Show that the function f defined by f (x) := x = x/x2 + 1; x R, is a bijection of R onto {y : 1

Q:

Show that the function g(x) = x |x| has an inflection point at (0, 0) but g (0) does not exist.

Q:

please solve all parts (a) For which values of r e R is the sequence x, divergent or convergent? What could the limit be ? , n e N (4 marks) (b) Find the values of a, b so that the function below is...

Q:

Show that the function f (x) = e is one-to-one. Graphing does not count as proof, Use the derivative of the function. Integrate ex sin(eX)dx

Q:

Show that the function f (x) = e is one-to-one. Graphing does not count as proof, Use the derivative of the function. Integrate ex sin(eX)dx

Q:

All questions 70. For what values of c does the polynomial P(x) = x* + ex' + x have two inflection points? One inflection point? None? Illustrate by graphing P for several values of c. How does the...

Q:

1. Let f(x) = xi . (x - 4). Give exact answers to the following questions. (a) Find the vertical or horizontal asymptotes of f, if any. (b) Find the intervals of increase and decrease of f and...

Q:

Concavity and points of inflection Answer the following questions using the function f x e The first derivative of the given function is The second derivative of the given function is x 0 f has...

Q:

UIZ # 3 Problems 3 1. Show that the function f ( x )=e x +2 x+1 is one-to-one. Graphing does not count as proof. (Hint: Use the derivative of the function.) 2. Find a formula for the inverse function...

Q:

\fsh is ar stu ed d vi y re aC s o ou urc rs e eH w er as o. co m Math 280 Strategies of Proof Fall 2007 Class Notes 3.6 Proving Conditional Statements II: Indirect Proofs In Section 3.4, we studied...

Q:

A truck loaded with cannonball watermelons stops suddenly to avoid running over the edge of a washed-out bridge (Fig. P4.64). The quick stop causes a number of melons to fly off the truck. One melon...

Q:

(a) What does a significant one-way chi square indicate? (b) What does a significant two-way chi square indicate?

Q:

Introduction The Wikipedia website provides the following description of the federal budget process in Canada: In Canada, federal budgets are presented annually by the Government of Canada to...

Q:

As a member of the public relations department, which medium (or media) would you recommend using to inform the local community that your toxic-waste cleanup program has been successful? Why? [LO-4]

Q:

An experiment used four groups of five individuals each. The overall sample mean was 60. a. What did the sample means look like if the one-way ANOVA for comparing the means had test statistic F = 0?...

Q:

For subjects aged under 50, there is little difference in mean annual medical expenses for smokers and nonsmokers. For subjects aged over 50, there is a large difference. Is it true or false that...

Q:

There is interaction in a two-way ANOVA model when a. The two factors are associated. b. Both factors have significant effects in the model without interaction terms. c. The difference in true means...

Q:

please help asap Rothchild Company issued $336,000 par value, 5-year, 3% bonds on June 1, 2022. The bonds are dated January 1, 2022, and pay interest semiannually each June 30 and December 31 . The...

Q:

For Year Ended December 31, 2022 Sales Revenue Sales Revenue Less: Sales Discounts Sales Returns Net Sales Revenue Cost of Goods Sold Cost of Goods Sold Gross Profit Operating Activities Selling...

Q:

A company purchased 300 units for $30 each on January 31. It purchased 390 units for $39 each on February 28. It sold a total of 460 units for $40 each from March 1 through December 31. What is the...