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with respect to u?

WELCOME TO OPENSTUDY!

i will help ya :)

Oh yes, sorry. It says Differentiate f(u) I have not yet differentiated using roots yet

lol fu

ok so first:

\[\sqrt[4]{u^2+u}\]

so first of all do you know how to simplify the equation?

See this......

@Carissa15 you there?

yes, that makes sense so far

I thought that you add 1/2 to "remove" the root from the equation but then I get lost..

O....... sqrt=1/2, 4sqrt=4/2=2. Got it?

cool, thank you :-) much more sense

which would leave me with \[4u^2+2(2u+1)+4u\] as the derivative?

So your derivative should be \[\frac{ 1 }{ 4 }(u^2+u)^{-3/4} (2u+1)\]

|dw:1438235581850:dw|

Or you can put it as \[\frac{ (2u+1) }{ 4(u^2+u)^{3/4} }\]

please clarify the original notice @Astrophysics and I did 2 different problems

@Astrophysics is here... he is really good.... He will take care..... @Carissa15

I see that now in the body but not in the original

Ok, thanks. Easier to work with powers

@Astrophysics did you see the original?

So just mess around, and see what you get, that's the best way to learn!

I am not confused I read what was posted just as it was posted.

Yes, it's the same, the power rule is as follow \[\frac{ d }{ dx } x^{n} = nx^{n-1}\]

got it. Thank you everyone :-)

Np

got it. Thank you everyone :-)