1. differentiating a function...

I think I have this, but want to make sure...
Let g(x)= x^2 f(x)
What does g'(x)=?
Using the power rule I come up with (2x * f(x) * f'(x) )*(x^2 * f'(x))
Is that right?
Any help would be greatly appreciated.

2. Hello,
Originally Posted by bemidjibasser
I think I have this, but want to make sure...
Let g(x)= x^2 f(x)
What does g'(x)=?
Using the power rule I come up with (2x * f(x) * f'(x) )*(x^2 * f'(x))
Is that right?
Any help would be greatly appreciated.
Nope, you have to use the product rule :
$\displaystyle [uv]'=u'v+uv'$, where $\displaystyle u=x^2$ and $\displaystyle v=f$

3. moo...

could you refresh me on how to work through that?

4. Originally Posted by bemidjibasser
could you refresh me on how to work through that?
$\displaystyle g(x)=x^2 *f(x)$

The product rule of differentiation says that
$\displaystyle g'(x)=[x^2]'*f(x)+x^2 *[f(x)]'=2x*f(x)+x^2*f'(x)$

Does it look clear ?

yeah, that's what i had, right?

6. Originally Posted by bemidjibasser
yeah, that's what i had, right?
(2x * f(x) * f'(x) )*(x^2 * f'(x))
2x*f(x)+x^2*f'(x)
This is not the same at all

7. ooops...

I had a * not a + thanks a bunch MOO!