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Multi-variate optima:
Higher up we saw that for a simple function f(x), an optimum exists, if:
$$\frac{df(x)}{dx}=0$$

...
30-4-2016 at 04:57
by: blogfast25
Calculus! For beginners, with a ‘no theorems’ approach!
[rquote=447280&tid=65532&author=aga]
It's pretty much apparent that i was not designed to b ...
29-4-2016 at 12:30
by: blogfast25
Calculus! For beginners, with a ‘no theorems’ approach!
7. (chain rule + product rule)
$$x^2\sin(y-x)$$
You got the chain rule right and thus f< ...
29-4-2016 at 06:04
by: blogfast25
The Short Questions Thread (4)
[rquote=447173&tid=66100&author=RogueRose]

molar mass of anhydrous = 106g/mole

anhydro ...
28-4-2016 at 17:29
by: blogfast25
Alum Crystals Thread
[rquote=447170&tid=66091&author=DraconicAcid]
The easiest way to make sure your iron is iro ...
28-4-2016 at 17:03
by: blogfast25
Calculus! For beginners, with a ‘no theorems’ approach!
1. Correct

2. Incorrect.
$$\cos x+\sin y$$

If y is a constant, then so is siny, so:
$$f_x=-\ ...
28-4-2016 at 14:49
by: blogfast25
Calculus! For beginners, with a ‘no theorems’ approach!
Correct. One done, seven more to go.
28-4-2016 at 13:12
by: blogfast25
Alum Crystals Thread
[rquote=447100&tid=66091&author=Chemist_Cup_Noodles]I saw a thread elsewhere on SM where a g ...
28-4-2016 at 11:53
by: blogfast25
Calculus! For beginners, with a ‘no theorems’ approach!
Firstly, a word about notation. The still frequently used:
$$\frac{\partial f}{\partial x}$$
... i ...
28-4-2016 at 11:27
by: blogfast25
Alum Crystals Thread
Bear in mind also that the solubility of alums tends to decrease with increasing size of the M[sup]+ ...
28-4-2016 at 08:43
by: blogfast25
Partial Derivatives:
Earlier we saw that the first derivative of a function f(x):
$$f’(x)=\frac{df(x)}{dx}$$
... is t ...
28-4-2016 at 06:06
by: blogfast25
Calculus! For beginners, with a ‘no theorems’ approach!
I'll leave the partials till tomorrow then.
27-4-2016 at 12:37
by: blogfast25
Calculus! For beginners, with a ‘no theorems’ approach!
[rquote=446968&tid=65532&author=aga]Doh ! After all that i pressed the wrong calculator butt ...
27-4-2016 at 10:50
by: blogfast25
Calculus! For beginners, with a ‘no theorems’ approach!
[rquote=446932&tid=65532&author=aga]25.51 m/s

I was thinking that the total distance trav ...
27-4-2016 at 08:37
by: blogfast25
Calculus! For beginners, with a ‘no theorems’ approach!
$$C=-1080$$
... is correct!

So we get:
$$x(t)=98t+1080e^{-0.1t}-1080$$
And no, you can't isola ...
27-4-2016 at 05:42
by: blogfast25
Calculus! For beginners, with a ‘no theorems’ approach!
I spy [url=http://www.ambrsoft.com/Equations/Derivation/Derivation.htm]with my little eye[/url], som ...
26-4-2016 at 13:49
by: blogfast25
Calculus! For beginners, with a ‘no theorems’ approach!
Chain rule, g-dammit!

Looks like there might be some whipping today, kids... ;)
26-4-2016 at 11:48
by: blogfast25
Calculus! For beginners, with a ‘no theorems’ approach!
[rquote=446750&tid=65532&author=aga]

Will your solution work out easier than mine in the ...
25-4-2016 at 13:44
by: blogfast25
Calculus! For beginners, with a ‘no theorems’ approach!
A fundamental property of exponentials:

$$e^{a-b}=e^ae^{-b}$$
Here a = 46.82/10 and b = -0.1.
$ ...
25-4-2016 at 12:04
by: blogfast25
Calculus! For beginners, with a ‘no theorems’ approach!
So sorry I missed this for some reason.

Your solution is:

{Drum roll}...

{another drum roll ...
25-4-2016 at 11:43
by: blogfast25
Calculus! For beginners, with a ‘no theorems’ approach!
[rquote=446536&tid=65532&author=aga]

Can i at least write a letter to my mum before all t ...
23-4-2016 at 13:27
by: blogfast25
Calculus! For beginners, with a ‘no theorems’ approach!
[rquote=446523&tid=65532&author=aga]A direction-changing two-dimensional parabola (time is o ...
23-4-2016 at 13:11
by: blogfast25
Calculus! For beginners, with a ‘no theorems’ approach!
[rquote=446509&tid=65532&author=aga]OK. So before i miss another C, here's the Plan :

Ass ...
23-4-2016 at 12:34
by: blogfast25
Quantum Mechanics/Wave Mechanics in Chemistry Beginners Thread
[rquote=446499&tid=62973&author=aga]So OC is just as hard as Calculus then. OK.

[/rquote] ...
23-4-2016 at 11:46
by: blogfast25
Calculus! For beginners, with a ‘no theorems’ approach!
[rquote=446368&tid=65532&author=aga]
While we're at it, is bloggers the consumate Calculus ...
22-4-2016 at 13:34
by: blogfast25
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