Help with integrals

[grayson]

2 minutes ago, joigus said:

No. It means you can't take x to be 5, or any other particular value. It must be a variable (varying, non-fixed) quantity. So the derivative of x⁵ is indeed 5x⁴, while 4*5⁴ 'is nothing of' 5⁵.

And the derivative of x⁵ at x=5 is indeed 4*5⁴

But that is not what you said...

It seems as if you're getting ahead of yourself. Maybe you need a good calculus book --like Spivak--, instead of calculus for dummies.

Hmmm, The calculus book did use that as an example, but didn't get the point to me clearly enough i guess

[Genady]

10 minutes ago, grayson said:

So it has to be in parentheses first? which means it would be (5⁴) instead of 5⁴?

In addition to the explanation above, notice a little apostrophe (') on the left. It is crucial.

[grayson]

2 minutes ago, Genady said:

In addition to the explanation above, notice a little apostrophe (') on the left. It is crucial.

That means it is the first derivitive, right?

[Genady]

1 minute ago, grayson said:

That means it is the first derivitive, right?

Yes.

[grayson]

8 minutes ago, joigus said:

Maybe you need a good calculus book --like Spivak--

Can I find that in a library?

[joigus]

9 minutes ago, joigus said:

No. It means you can't take x to be 5, or any other particular value. It must be a variable (varying, non-fixed) quantity. So the derivative of x⁵ is indeed 5x⁴, while 4*5⁴ 'is nothing of' 5⁵.

And the derivative of x⁵ at x=5 is indeed 4*5⁴

But that is not what you said...

It seems as if you're getting ahead of yourself. Maybe you need a good calculus book --like Spivak--, instead of calculus for dummies.

Sorry, I meant "the derivative of x⁴ at x=5 is indeed 4*5³"

I hope that was clear... If it wasn't, please tell me.

2 minutes ago, grayson said:

Can I find that in a library?

I'm sure you can.

[grayson]

3 minutes ago, joigus said:

Sorry, I meant "the derivative of x⁴ at x=5 is indeed 4*5³"

I hope that was clear... If it wasn't, please tell me.

I'm sure you can.

Also, I have a question. In a function when I say f(x) does that mean f*x. Because I had an argument with someone over that

[joigus]

1 minute ago, grayson said:

Also, I have a question. In a function when I say f(x) does that mean f*x. Because I had an argument with someone over that

No. It means f depends on x.

So you might have

f(x) = 2*x

or

f(x) = x²

etc.

[grayson]

1 minute ago, joigus said:

No. It means f depends on x.

So you might have

f(x) = 2*x

or

f(x) = x²

etc.

Okay good. I was saying that but the person kept saying it was times. But also what would the difference between f(x) and f x (With respect to) be? 

 

[grayson]

Everyone, I have solved my first problem! (We will use italic s as the integral sign)

s(3x¹⁰+9+3x)dx= (((3/11)x¹¹+c)+(9x+c)+((3/1)x¹+c))

Please tell me if I solved this right or not. I learned these skills from chat gpt.

[Genady]

1 hour ago, grayson said:

Everyone, I have solved my first problem! (We will use italic s as the integral sign)

s(3x¹⁰+9+3x)dx= (((3/11)x¹¹+c)+(9x+c)+((3/1)x¹+c))

Please tell me if I solved this right or not. I learned these skills from chat gpt.

No.

[grayson]

Just now, Genady said:

No.

How do I solve it different than?

Wait, I think i know, Just give me a second

(3/11)+x¹¹+9x+(3/1)x+C

If that is wrong, please tell me why so I can get a better understanding

Crap, I put it through chatgpt and I realized I made a subtraction mistake

[Genady]

5 minutes ago, grayson said:

How do I solve it different than?

Wait, I think i know, Just give me a second

(3/11)+x¹¹+9x+(3/1)x+C

If that is wrong, please tell me why so I can get a better understanding

It is wrong.

You might get a better understanding if you find it yourself.

[grayson]

Instead of (3/1)x it is (3/2)x²

sometimes even the greatest mathematicians make mistakes. And that is okay

But always use the metric system unless you are talking to your American family or you are in school (I am american)