Intermediate-Value Thm: use to show f(x) = x4-5x3-10(x-1)sin(x) has a zero tangent

[fransi73]

Hey everyone, I'm new here..

I'm having trouble initiating a solution to a problem that I have for a homework assignment.
I'm being asked to use the Intermediate-Value Theorem to show that the function f(x)=x⁴-5x³-10(x-1)sin(x) has a zero tangent, or a vertical tangent on the graph of the function in between [-1, 1].

I have never used the theorem for anything before, but understand it quite easily. I just don't know how to use it.

Thanks!

 

[Deleted member 4993]

Hey everyone, I'm new here..

I'm having trouble initiating a solution to a problem that I have for a homework assignment.
I'm being asked to use the Intermediate-Value Theorem to show that the function f(x)=x⁴-5x³-10(x-1)sin(x) has a zero tangent, or a vertical tangent on the graph of the function in between [-1, 1].

I have never used the theorem for anything before, but understand it quite easily. I just don't know how to use it.

Thanks!

How would you calculate lope of a slope of tangent?

 

[stapel]

Use the Intermediate-Value Theorem to show that the function f(x)=x⁴-5x³-10(x-1)sin(x) has a zero tangent, or a vertical tangent on the graph of the function in between [-1, 1].

I have never used the theorem for anything before, but understand it quite easily.

What is your book's statement of the Intermediate Value Theorem (IVT)? Thank you!

 

[fransi73]

How would you calculate lope of a slope of tangent?

What do you mean 'lope'?

Sorry if this is a stupid question

 

[stapel]

What do you mean 'lope'?

The term is "slope", and is something that you should have learned about -- extensively! -- back in algebra, as well as in the beginnings of calculus. I can't imagine how one would discuss "derivative" without some mention of "slope" (or, in British-English, "gradient").

Are you in a class, or are you attempting to self-teach calculus? Have you taken any algebra at all? If so, have you studied "linear" functions at all (of the form "y = mx + b")?

Thank you!

 

[fransi73]

The term is "slope", and is something that you should have learned about -- extensively! -- back in algebra, as well as in the beginnings of calculus. I can't imagine how one would discuss "derivative" without some mention of "slope" (or, in British-English, "gradient").

Are you in a class, or are you attempting to self-teach calculus? Have you taken any algebra at all? If so, have you studied "linear" functions at all (of the form "y = mx + b")?

Thank you!

Ahh of course, silly me, should have figured that. Anyway, yes I did study slopes and its relation to derivatives, but only fairly recently and sadly not so exstensively. I am now in university and I am doing alot of revisiting of these cocepts. Just alot of material in a short period of time.