Calculus Exam Tomorrow - EVT / Derivative Q Help

[yoyoyoman]

Hi

Please can somebody help me. I have been trying to figure this out for days.

My question is:

Calculate the first and second derivative for the function f(x) =e to power of x /x+1 , x equal to or same as -1


b. Find the local extreme points and inflection points for this function in the interval -3/4, 4

c. determine whether it is convex or concave

d. Write the definition of an inflection point for function f with Domain Df.

Where do I even begin..? I would be so grateful if somebody could explain it, I have the answer but no idea how you get there..

 

[stapel]

I have been trying to figure this out for days.... Where do I even begin..?

Why did your instructor not cover the chapter on taking derivatives? (This must be the case, since you have been working on this "for days" and yet have no idea how to "even begin".) :shock:

Calculate the first and second derivative for the function f(x) =e to power of x /x+1 , x equal to or same as -1

As currently formatted, the function could be any of the following:

. . . . .\(\displaystyle \mbox{a) }\,f(x)\, =\, \dfrac{e^x}{x}\, +\, 1\)

. . . . .\(\displaystyle \mbox{b) }\,f(x)\, =\, e^{\dfrac{x}{x}}\, +\, 1\)

. . . . .\(\displaystyle \mbox{c) }\,f(x)\, =\, \dfrac{e^x}{x\, +\, 1}\)

. . . . .\(\displaystyle \mbox{d) }\,f(x)\, =\, e^{\dfrac{x}{x\, +\, 1}}\)

Did you mean any of these? Note: If x = -1, then (c) and (d) are not well-defined.

b. Find the local extreme points and inflection points for this function in the interval -3/4, 4

Intervals are enclosed in parentheses or square brackets, indicating inclusion or exclusion of endpoints. Please reply with that information.

,c. determine whether it is convex or concave

d. Write the definition of an inflection point for function f with Domain Df.

To answer this exercise, you'll need to learn about derivatives. Since you specify that you have no familiarity with them, you should allow yourself a week or two, at least, for your study. One good place to start would be here. Good luck!

(P.S. You may want to schedule a conference with your academic advisor. You should never have been put in the position of trying to study for a test when your class has not yet covered any of the material on that test.)

 

[yoyoyoman]

Why did your instructor not cover the chapter on taking derivatives? (This must be the case, since you have been working on this "for days" and yet have no idea how to "even begin".) :shock:


As currently formatted, the function could be any of the following:

. . . . .\(\displaystyle \mbox{a) }\,f(x)\, =\, \dfrac{e^x}{x}\, +\, 1\)

. . . . .\(\displaystyle \mbox{b) }\,f(x)\, =\, e^{\dfrac{x}{x}}\, +\, 1\)

. . . . .\(\displaystyle \mbox{c) }\,f(x)\, =\, \dfrac{e^x}{x\, +\, 1}\)

. . . . .\(\displaystyle \mbox{d) }\,f(x)\, =\, e^{\dfrac{x}{x\, +\, 1}}\)

Did you mean any of these? Note: If x = -1, then (c) and (d) are not well-defined.


Intervals are enclosed in parentheses or square brackets, indicating inclusion or exclusion of endpoints. Please reply with that information.


To answer this exercise, you'll need to learn about derivatives. Since you specify that you have no familiarity with them, you should allow yourself a week or two, at least, for your study. One good place to start would be here. Good luck!

(P.S. You may want to schedule a conference with your academic advisor. You should never have been put in the position of trying to study for a test when your class has not yet covered any of the material on that test.)

Hi

To answer your follow up questions.

It is formatted as in C - . .\(\displaystyle \mbox{c) }\,f(x)\, =\, \dfrac{e^x}{x\, +\, 1}\)

The Intervals are in square brackets, apologies I cannot see how to do that on the keyboard.

The course I have is very condensed, and the teaching has been very different to what I am used to, which has left me in quite a state

 

[HallsofIvy]

Hi

Please can somebody help me. I have been trying to figure this out for days.

My question is:

Calculate the first and second derivative for the function f(x) =e to power of x /x+1 , x equal to or same as -1

We have already established that you mean f(x)= e^x/(x+ 1). But surely you mean "x not equal to or same as -1" since f is not defined at x= -1.

You want to find the derivative. Okay, do you know the derivative of e^x? Do you know the derivative of x+ 1? Do you know the "quotient rule"? We need to know what you can do in order to help.

b. Find the local extreme points and inflection points for this function in the interval -3/4, 4

c. determine whether it is convex or concave

d. Write the definition of an inflection point for function f with Domain Df.

Where do I even begin..? I would be so grateful if somebody could explain it, I have the answer but no idea how you get there..