Hey guys i need help with this question using the formula

F( x + h) - F ( x )

-----------------

h

The question being:

F ( x ) = x^1/3

please with a breif explanation of how its done as well:) thank you!

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- Mar 11th 2009, 07:25 PMjamman790need help within 12 hours pre calc
Hey guys i need help with this question using the formula

F( x + h) - F ( x )

-----------------

h

The question being:

F ( x ) = x^1/3

please with a breif explanation of how its done as well:) thank you! - Mar 11th 2009, 07:39 PMProve It
- Mar 11th 2009, 07:50 PMPlato
Here is the KEY to this question.

.

Now, you may not grasp that at first!

But think about. - Mar 11th 2009, 08:18 PMjamman790
I understand that your subing them in but where do you go from there? i mean how do you expand that?...with the perfect cubes formula listed above?..how does that work? there not being cubed there to the ^1/3..sorry im trying to think about it but am confuzzled:|! Wait do you sub a variable?

- Mar 11th 2009, 09:21 PMSoroban
Hello, jamman790!

We want the Difference Quotient: .

Break it up into three steps:

(1) Find . . . Replace with ... and simplify.

(2) Subtract . . . Subtract the original function ... and simplify.

(3) Divide by . . . Reduce and simplify.

Quote:

(1) Find

(2) Subtract

. . .Multiply top and bottom by: .

. . .

. . .

. . .

(3) Divide by

. . .

- Mar 12th 2009, 12:23 AMjamman790
when you multiply the top and bottom by that long equation..how did u figure out you needed to multiply it by that?...