Calculus Question:
If f(x)=x^5 +x, where is f increasing?
Graphing this I can see that f0 are all positive values and also the derivative graph f'(x)=5x^4+1 also shows that all values are positive for f0.

Is it sufficient to say what I have said above as an answer? or am I missing something?

Question

Calculus Question:
If f(x)=x^5 +x, where is f increasing?
Graphing this I can see that f>0 are all positive values and also the derivative graph f'(x)=5x^4+1 also shows that all values are positive for f>0. 

Is it sufficient to say what I have said above as an answer? or am I missing something?

anonymous · Answer

Using first derivative is better i think 

note that

$f'(x)=5x^4+1>0$   for all  $x$  in  $R$

so $f$  increasing everwhere

anonymous · Answer

and no problem with what u did 
i think thats a typo where u wrote
f'(x)=5x^4+1 also shows that all values are positive for f>0

f or f' ?

marigirl · Answer

oh yes im sorry i mean f'>0. the derivative graph. thanks heaps!

anonymous · Answer

yw...:)