Can anyone show me how to defrentiate these 4 functions please:)

(3x^2-4x)^3

(x^2+2)(2x^3-5x^2+4x)

sqrt X - 3rd square root x not 3(sqrt x) but the 3 is very small and close to the square root sign

and 3x/x^2+4

*

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- Jan 31st 2009, 07:56 PMnotoriousmcCalculus Defrentiation
Can anyone show me how to defrentiate these 4 functions please:)

(3x^2-4x)^3

(x^2+2)(2x^3-5x^2+4x)

sqrt X - 3rd square root x not 3(sqrt x) but the 3 is very small and close to the square root sign

and 3x/x^2+4

* - Jan 31st 2009, 08:09 PMJhevon
hopefully you know the power rule for derivatives.

are you aware of the chain rule?

it says

here, your and your

an example:

Quote:

(x^2+2)(2x^3-5x^2+4x)

it says (if and are functions of ), then

here, your and your

Quote:

sqrt X - 3rd square root x not 3(sqrt x) but the 3 is very small and close to the square root sign

now apply the power rule to find the derivative

Quote:

and 3x/x^2+4

(1) write as and use the product rule with and . note that you need the chain rule to find

(2) use the quotient rule:

your and are the same as above - Jan 31st 2009, 08:11 PMGaloisTheory1
**Jhevon was faster than me.**

(3x^2-4x)^3= (3x^2-4x) (3x^2-4x) (3x^2-4x)

multiply it out and take the derivative

(x^2+2)(2x^3-5x^2+4x)

multiply it out and take the derivative

use quotient rule