Finding derivative of a function

Hello,

I'm supposed to find the derivative of the following.

Using the form , or turning F(x) into F'(x) (Prime).

Anyway, I'm supposed to solve r=2/3 but I'm not sure how I'm supposed to turn this function into F'(x).

I think I'm supposed to do something like

But I'm not sure how I should be applying the exponent when r = 2/3 - or whether I'm on the right track in that case.

Any tips?

Cheers

Re: Finding derivative of a function

Quote:

Originally Posted by

**astuart** Hello,

I'm supposed to find the derivative of the following.

Using the form

, or turning F(x) into F'(x) (Prime).

Anyway, I'm supposed to

**solve(?)** r=2/3

**<-- this equation is already solved**
but I'm not sure how I'm supposed to turn this function into F'(x).

I think I'm supposed to do something like

But I'm not sure how I should be applying the exponent when r = 2/3 - or whether I'm on the right track in that case.

Any tips?

Cheers

What you posted is the term to calculate the volume of a sphere:

Then

which is the equation to determine the surface area of a sphere.

To evaluate the volume or the surface area of a sphere with you only have to plug in this value into these equations

Re: Finding derivative of a function

Quote:

Originally Posted by

**earboth** What you posted is the term to calculate the volume of a sphere:

Then

which is the equation to determine the surface area of a sphere.

To evaluate the volume or the surface area of a sphere with

you only have to plug in this value into these equations

I knew it was the volume of a sphere but I just wasn't sure how to put that into V'.

Apparently the answer is - I'm just not sure how to get that answer...

Re: Finding derivative of a function

Quote:

Originally Posted by

**astuart** I knew it was the volume of a sphere but I just wasn't sure how to put that into V'.

Apparently the answer is

- I'm just not sure how to get that answer...

Re: Finding derivative of a function