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#1 2012-11-21 22:35:45
- MathsIsFun
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Derivative Rules
Made a page on Derivative Rules
Lots of examples, possible errors (let me know!)
Also if you have any bright ideas on how to make it better.
"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman
#2 2012-11-21 22:57:44
- bobbym
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Re: Derivative Rules
Hi;
I did not find any errors in the examples. Looks good from here.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#3 2012-11-22 00:29:42
- bob bundy
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Re: Derivative Rules
hi MathsIsFun
Very good. I have the following suggestions (in red.... I seem to have lost the super and subscripts.) :
(1) Derivative Rules
Logarithms loga x 1 / (ln a)x 1/(xln a)
(2) Example: What is (sin(x2))' ?
sin(x2) is made up of sin() and x2:
• f(x) = sin(x) f(g) = sin(g)
• g(x) = x2
(3) Example: What is (1/sin(x))’ ?
1/sin(x) is made up of 1/x and sin():
• f(x) = 1/x f(g) = 1/g
• g(x) = sin(x)
What do you think? 
Bob
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
#4 2012-11-22 00:35:43
- anonimnystefy
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Re: Derivative Rules
Hi MIF
How is f'(sin(x)) the derivative of the sine function?
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#5 2012-11-22 01:34:45
- Shivamcoder3013
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Re: Derivative Rules
Stefy, why is it not? Anyways, it is a very well-developed page. Perhaps you should add an video?
Give me a lever long enough and a fulcrum on which to place it, and I shall move the world.
-Archimedes
My maturity level depends on the people I am around.
#6 2012-11-22 04:02:13
- bob bundy
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Re: Derivative Rules
Stefy wrote:
How is f'(sin(x)) the derivative of the sine function?
Where on the page did you find this, please?
Bob
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
#7 2012-11-22 04:07:49
- anonimnystefy
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Re: Derivative Rules
Hi Bob
All of the examples contain that notation...
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#8 2012-11-22 04:13:28
- bob bundy
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Re: Derivative Rules
Oh I see. It's the notation that you were asking about.
Some people use f' for df/dx
The double diff is f''
etc etc.
Bob
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
#9 2012-11-22 07:16:49
- MathsIsFun
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Re: Derivative Rules
I like f' because it is short and sweet. But dy/dx has the advantage of saying you are differentiating with respect to x.
Bob: thank you, those changes will make it better for sure!
"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman
#10 2012-11-22 09:55:31
- bobbym
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Re: Derivative Rules
Hi MIF;
The tables you put in tend to make everything too easy. A few of them I did not even know! Had to derive them by the chain rule to convince myself they were true. Can't wait to see your page on the chain rule!
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.