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/sci/ - Science & Math

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5067718 No.5067718 [Reply] [Original]

Hey, I was hoping someone could explain something to a mathematical degenerate.

I'm supposed to find the derivative of
y=(2-3x^2)^4 (x^7+3)^3

So I set this up as
(2-3x^2)^4 Dx (x^7+3)^3 + (x^7+3)^3 Dx (2-3x^2)^4
Then
(2-3x^2)^4 (7x^6)(3)((x^7+3)^2) + (x^7+3)^3 (-6x)(4)((2-3x^2)^3)

I don't know what to do after I make it to that step. I know that I need to begin combining like terms or something, but I'm not sure how to do so.

>> No.5067730

>>5067718
You are trying to find the derivative of y with respect to x?

dy/dx?

>> No.5067755

>>5067730
I'm supposed to find DxY

>> No.5067769

When I plug
(2-3x^2)^4 (7x^6)(3)((x^7+3)^2) + (x^7+3)^3 (-6x)(4)((2-3x^2)^3)
into Wolfram, it gives me
3 x (3 x^2-2)^3 (x^7+3)^2 (29 x^7-14 x^5+24)

Which looks very similar to the answers for similar example problems. I just can't figure out how the terms combine to equal that.

>> No.5067773

>>5067755
wtf is DxY? do you mean dy/dx or dx/dy?

You use some ass-backwards notation. Are you an american republican ?

>> No.5067777
File: 19 KB, 373x273, 080725-office-fun-hmed-135p_hmedium.jpg [View same] [iqdb] [saucenao] [google]
5067777

>>5067773
>republicans
>math

>> No.5067781
File: 72 KB, 368x653, IMAG0713.jpg [View same] [iqdb] [saucenao] [google]
5067781

>>5067773
Hopefully this helps, it's a picture of what my book is asking. I'm doing problem 18.

>> No.5067807

>>5067781
OP read up on product rule and watch khan academy on product rule differentiation

>> No.5067812

>>5067781
Yeah, you are finding dy/dx. If you cant even realize that then you really don't understand what you are doing.

>> No.5067842

>>5067812
>>5067781
what the fuck kind of notation is DxY for dy/dx?

>> No.5067868
File: 28 KB, 700x416, 4892857_700b_v1.jpg [View same] [iqdb] [saucenao] [google]
5067868

>>5067842
It is Eulers notation, used mostly in linear algebra and some fields of advanced physics. You rarely see it used in basic calculus shit. Most elementary calculus (1-4) use Leibniz's notation.

http://en.wikipedia.org/wiki/Notation_for_differentiation

>> No.5069456

>>5067842
It's a normal notation. Where's your problem? Never seen it?

>> No.5069501

You need to use the chain rule and the product rule