[ d/dx]( ( 4√{x} ) ln(x)) = ?
4 is the upper on the square root so it means 1/4

Question

[ d/dx]( ( 4√{x} ) ln(x))    =   ?
4 is the upper on the square root so it means 1/4

xishem · Answer

Alright. So you'll just need to use the product rule, right?

anonymous · Answer

But I have no idea how to do it..

xishem · Answer

OK, do you know what the product rule is?

anonymous · Answer

Yea. Oh wait the question is [ d/dx]( ( 4√{x} )^(ln(x))) so it should be power rule

xishem · Answer

You actually have to use both the power rule and the product rule:$$\frac{d}{dx}(\sqrt[4]{x}\ln(x))=\frac{d}{dx}(\sqrt[4]{x})*\ln(x)+\sqrt[4]{x}*\frac{d}{dx}(\ln(x))$$Does that help?

anonymous · Answer

So is it 1/4x^(-3/4)(ln(x))+x^(3/4).?

xishem · Answer

The right term should be this, I believe:$$x^{1/4}*\frac{1}{x}=x^{-3/4}$$

anonymous · Answer

1/4x^(-3/4)(ln(x))+x^(-3/4.?
But it is still incorrect...

xishem · Answer

No, that's right: http://www.wolframalpha.com/input/?i=d%2Fdx%28x%5E%281%2F4%29*ln%28x%29%29

anonymous · Answer

Um...?
The web work said wrong...

anonymous · Answer

Wait... The question is to the power of ln(x)

xishem · Answer

Write it out?