Find the derivative of.....

Question

anonymous · Answer

|dw:1393802594759:dw|

anonymous · Answer

^^those are all "theta" symbols... found out I could put ø via keyboard a little late hahaa

phi · Answer

write the 4th root of x (easier to type) as 
$$ x^{\frac{1}{4}} $$
and use the rule
$$ \frac{d }{dx} x^n = n x^{n-1} $$

phi · Answer

oops, in this case 
$$ x^{- \frac{1}{4}} $$

anonymous · Answer

ohh okay... and it would become nx^-1 1/4 ?

anonymous · Answer

(-1/4) x ^ -1 1/4 ?

phi · Answer

-¼ x ^ (-5/4)

phi · Answer

-1 ¼ is hard to decipher. people generally would write it as -5/4

anonymous · Answer

ahh okay.. so what do I do from there? :/

anonymous · Answer

what is x? is it x--> 0 ?

phi · Answer

x is theta.  I just used x because it is easier to type

anonymous · Answer

ahh okay...

so -1/4 ø ^-5/4 ?

what happens now?

phi · Answer

you go to the next question ?

phi · Answer

you could write the answer using radicals if that is what they want.
$$ - \frac{1}{4 \sqrt[4]{\theta^5}} $$

anonymous · Answer

ohh haha that's the final answer?

phi · Answer

either way is ok as the answer

anonymous · Answer

ahh okay i see:)awesome!! thank you!!

anonymous · Answer

oh and for this one, it's similar, would this be the right answer? and way to solve? |dw:1393803760067:dw| @phi ?