Question

Derive y = lnx / (x^1/6)

Answer 1

find Derivative ?

Answer 2

yes

Answer 3

u=lnx =>du=1/x
dv=x^(1/6) =>v=6/5x^(5/6)
\[\int\limits_{}^{}=u*v-\int\limits_{}^{}vdu\]

Answer 4

sorry

Answer 5

you can write it as \(\huge y=(x^{-\frac{1}{6}})\times lnx \) and use the product rule.... much simpler...

Answer 6

I confusion antiderivative

Answer 7

(uv)'=u'v+uv'

Answer 8

\(\large y'=[x^{-\frac{1}{6}}]'lnx+[lnx]' x^{-\frac{1}{6}} \)

Answer 9

can that be simplified any further?