Question

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.

Answer 1

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

Answer 2

yes

Answer 3

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

Answer 4

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