Take the derivative of the previous post

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20 Jan 2010, 11:35 am

Alright, here's how the game is going to work:
I will post some function, each person will take the derivative of the previous post. If it gets to 0 or some repetitive pattern, feel free to start over with another function.

Here we go...

x^10 (so in this case the next person will post "10x^9")

dddhgg
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20 Jan 2010, 2:50 pm

Nah, your example isn't fun, as it's so predictable.

Let's start with some function from hell:

Sin(x^2) / (1 + x^2).

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jc6chan
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20 Jan 2010, 3:47 pm

dddhgg wrote:

Nah, your example isn't fun, as it's so predictable.

Let's start with some function from hell:

Sin(x^2) / (1 + x^2).

eeewwwww! I don't want to derive that, I mean I could but I will need pencil and paper

dddhgg
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20 Jan 2010, 6:06 pm

jc6chan wrote:

dddhgg wrote:

Nah, your example isn't fun, as it's so predictable.

Let's start with some function from hell:

Sin(x^2) / (1 + x^2).

eeewwwww! I don't want to derive that, I mean I could but I will need pencil and paper

OK, as a compromise let's start with sin(x^2).

d/dx sin(x^2) = 2x cos(x^2)

smischmal
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20 Jan 2010, 7:12 pm

dddhgg wrote:

OK, as a compromise let's start with sin(x^2).

d/dx sin(x^2) = 2x cos(x^2)

d/dx(2x cos(x^2))= 2cos(x^2) -4(x^2) sin(x^2)

RockDrummer616
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21 Jan 2010, 11:28 am

d/dx(2cos(x^2)-4(x^2)sin(x^2))= -4x(sin(x^2))-8x(sin(x^2))-8(x^3)(cos(x^2))

Did I do that right?

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smischmal
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08 Feb 2010, 2:18 am

RockDrummer616 wrote:

d/dx(2cos(x^2)-4(x^2)sin(x^2))= -4x(sin(x^2))-8x(sin(x^2))-8(x^3)(cos(x^2))

Did I do that right?

yep
d/dx(-4x(sin(x^2))-8x(sin(x^2))-8(x^3)(cos(x^2))
=-4sin(x^2)-8(x^2)cos(x^2)-8sin(x^2)-16(x^2)(cos(x^2))-24(x^2)(cos(x^2))+16(x^4)(sin(x^2))
=-12sin(x^2)-48(x^2)cos(x^2)+16(x^4)sin(x^2)

makuranososhi
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08 Feb 2010, 2:34 am

Sorry to break the thread... but when I first read the title, I saw "Take the derivative of the previous poet" and was very, very, very confused. :oops: Now back to work.

M.

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b9
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08 Feb 2010, 3:17 am

smischmal wrote:

=-12sin(x^2)-48(x^2)cos(x^2)+16(x^4)sin(x^2)

d/dx (-12sin(x^2)-48(x^2)cos(x^2)+16(x^4)sin(x^2))
=160x^3sin(x^2)+(32x^5-120x)cos(x^2)

d/dx (160x^3 sin(x^2)+(32x^5-120*x)cos(x^2))
= (720x^2-64x^6)sin(x^2)+(480x^4-120)cos(x^2)

etc etc

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