Can You Use Logarithmic Differentiation to Solve for a Base 2 Function?

[huan.conchito]

Can someone please differentiate this \!\(Log\\_2\[[x^3 + 1]
im stuck because its base 2

 

[Moo Of Doom]

Remember that \log_a{x}=\frac{\log_b{x}}{\log_b{a}}

 

[huan.conchito]

so is this my next step? and then do i use quotient rule?
\log_2{(x^3+1)}=\frac{\ln{(x^3+1)}}{\ln{2}}

 

[Moo Of Doom]

You don't need the quotient rule because ln2 is a constant.

 

[huan.conchito]

so is the the answer then?
3x^2/(x^3+1)

 

[Hurkyl]

He used the chain rule just fine.

He just forgot how to deal with a constant multiple. Hint: what's the derivative of 6 x^2?

 

[huan.conchito]

ah, thanks
3x^2/(x^3+1)Ln2

 

[dextercioby]

And \ln 2 should be there somewhere.In the denominator,to be precise.

And the thread title,to be accurate,should have been "logarithm('s) derivative"...

Daniel.

 

[SpaceTiger]

He used the chain rule just fine.

I deleted my response because he changed his post before I submitted, or it displayed incorrectly on my browser.