      # Derivation Of Composite Function

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### #1 Abbe

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Posted 16 January 2006 - 10:00 AM

I tried derivation of sin^3(2*x) like diff(sin^3(2*x)) and CP 300 return error "Incorect Argument". Can anybody help me with that syntax please<

### #2 Guest_Guest_*

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Posted 16 January 2006 - 02:58 PM

I tried derivation of sin^3(2*x) like diff(sin^3(2*x)) and CP 300 return error "Incorect Argument". Can anybody help me with that syntax please<

Your term sin^3(2x) is wrong. It has to be sin()...
Other than that, the syntax for the diff command is (Classpad Manual):

Syntax: diff(Exp/List)[,variable] [ ) ]
diff(Exp/List,variable,order[,a] [ ) ]
"a" is the point for which you want to determine the derivative.
"order" = 1 when you use the following syntax: diff(Exp/List[,variable][ ) ]. The default
variable is "x" when "variable" is omitted.
Example: To differntiate x^6 with respect to x:
diff(x^6)
6x^5
Example: To find the second derivative of x^6 with respect to x:
diff(x^6,x,2)
30x^4
Example: To find the second derivative of x^6 with respect to x at x=3
diff(x^6,x,2,3)
2430

### #3 Abbe

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Posted 16 January 2006 - 04:20 PM

But , can I derivate sin^3(2x)? There is no way to derive function of a function? Or which way I must wrote right syntaxe?

### #4 Guest_Guest_*

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Posted 16 January 2006 - 04:57 PM

But , can I derivate sin^3(2x)? There is no way to derive function of a function? Or which way I must wrote right syntaxe?

sin^3(2*x) is the problem. sin^3 isn't correct syntax.

### #5 Gaumerie

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Posted 16 January 2006 - 05:04 PM

sin(2*x)^3 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!

### #6 Abbe

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Posted 18 January 2006 - 07:51 AM

sin^3(2*3) IS NOT EQUAL sin(2*x)^3 !!!!!!!!!!!!!!!!!!!!!!!!!!!!! because in first case i square function sin^3 in second you square (2*x)^3
That is mathematical diferent function.

### #7 Overlord

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Posted 18 January 2006 - 12:33 PM

What do you mean by sin^3 (2x) ?
sin(sin(sin(2x))) or (sin(2x))^3 ?

Note : What Gaumerie wrote is (sin(2x))^3 and not sin((2x)^3)

### #8 Abbe

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Posted 18 January 2006 - 12:59 PM

What do you mean by sin^3 (2x) ?
sin(sin(sin(2x))) or (sin(2x))^3 ?

Note : What Gaumerie wrote is (sin(2x))^3 and not sin((2x)^3)

It seems to me that (sin(2x))^3 is the right function.

### #9 Kilburn

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Posted 18 January 2006 - 02:19 PM

It seems to me that (sin(2x))^3 is the right function.

So sin(2x)^3 is correct, functions have the highest priority. #### 0 user(s) are reading this topic

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