## anonymous 5 years ago find the intervals of increasing and decreasing for y=x^1/4(x+3)....derivative part is messing me up, i know what it should be but if you could please show steps.

1. anonymous

$\textrm{is \it this } y=x ^{1/4}*(x+3)$

2. anonymous

yes

3. anonymous

$y'=\frac{1}{4}x ^{-3/4}(x+3)+x ^{1/4}$

4. anonymous

$y'\ge0$ all x E (0, infinit) then y is increasing [0, infinit )