Differeniation (1 Viewer)

[powlmao]

<a href="http://www.codecogs.com/eqnedit.php?latex=\frac{\delta y}{\delta x}=\lim_{\delta \rightarrow o} \frac{f(x@plus;\delta x)- f(x)}{\delta x}" target="_blank"><img src="http://latex.codecogs.com/gif.latex?\frac{\delta y}{\delta x}=\lim_{\delta \rightarrow o} \frac{f(x+\delta x)- f(x)}{\delta x}" title="\frac{\delta y}{\delta x}=\lim_{\delta \rightarrow o} \frac{f(x+\delta x)- f(x)}{\delta x}" /></a>

Does this one work with most things

 

[Shadowdude]

This?



And that is... the definition of differentiation.

 

[powlmao]

Yes.

Didn;t link for me.

My teacher said you can use that you diferreniate forumlas?

 

[SpiralFlex]

Yes.

Didn;t link for me.

My teacher said you can use that you diferreniate forumlas?

Yes, it's via first principles.

 

[powlmao]

Cool.

Does it work for everything?

 

[Shadowdude]

It's the definition. It works for everything.

 

[powlmao]

Right.

Awesome.

So Shadow can you like answer it for something a tad harder than like x^4

 

[clissold]

Firstly, its DIFFERENTIATION

Secondly, its Differentiation by First Principles

Therefore, yes it works for everything..

 

[SpiralFlex]

Right.

Awesome.

So Shadow can you like answer it for something a tad harder than like x^4

Note: I used instead of for simplicity.

 

[Shadowdude]

Right.

Awesome.

So Shadow can you like answer it for something a tad harder than like x^4

Yeah, it's simple. You can even do it yourself. Unless you really really really want me to do it.

 

[powlmao]

No, no it is fine.

I am only use to doing simple ones not hard ones which include sine etc. How would you do it for sine and such

 

[SpiralFlex]

do it for square root x

No, no it is fine.

I am only use to doing simple ones not hard ones which include sine etc. How would you do it for sine and such

Too late, I have done two.

 

[clissold]

No, no it is fine.

I am only use to doing simple ones not hard ones which include sine etc. How would you do it for sine and such

I was told that differentiating from first principles usually only involves numbers and letters (not trig, exponentials, logs, etc)

 

[SpiralFlex]

No, no it is fine.

I am only use to doing simple ones not hard ones which include sine etc. How would you do it for sine and such

Highly unlikely you would be asked to diffferentiate via first principles for sine, cosine, tangent. However since you are in 2 unit, you will be required to remember these forms,

 

[powlmao]

Too late, I have done two.

Thank you !!

More rep for you <3

 

[powlmao]

I was told that differentiating from first principles usually only involves numbers and letters (not trig, exponentials, logs, etc)

I was looking at very old maths hsc papers and saw one with sine in it, and it confused me a bit.

 

[slyhunter]

I was told that differentiating from first principles usually only involves numbers and letters (not trig, exponentials, logs, etc)

No.

 

[SpiralFlex]

You can differentiate via first principles for trigonometric functions if you really wanted to.

But the identity of,

must be introduced first.

 

[clissold]

Highly unlikely you would be asked to diffferentiate via first principles for sine, cosine, tangent. However since you are in 2 unit, you will be required to remember these forms,

Yeah I know you have to be able to differentiate trig, but very rarely from first principles..

I was looking at very old maths hsc papers and saw one with sine in it, and it confused me a bit.

I suppose if the question came up, just approach it the same way as you would answer other form..

No.

See above..

 

[ZombieApocalypse]

I hate when they mix in letters that aren't in english
I can't write them properly and that's how I usually make silly mistakes in topics like polynomials. At the beginning of a question, can we write something like:

let alpha= x, beta= y etc etc
and then do the question without some foreign alphabet?