Question

find derivative of

y=6root of x^5

Answer 1

\[\sqrt[6]{x^5}\]

Answer 2

\[\sqrt[6]{x^5} = x^{\frac{ 5 }{ 6 }}\]

Answer 3

as @abb0t has shown...those 2 expressions are equal....now how do you find the derivative of THAT?

Answer 4

I don't know.

Answer 5

hint...think of the power rule

Answer 6

it would be 5x/6?

Answer 7

because you would get \[\frac{ 5 }{ 6 }X ^{\frac{ -1 }{ 6 }}\]

Answer 8

which then to get rid of the negative you put the denominator of the negative integer as the denominator of the problem right?

Answer 9

well think of \[x ^{-1/2}\]

That would become

\[1/x ^{1/2}\]

Answer 10

so it would be \[\frac{ 5 }{ 6x ^{1/6} }\]

Answer 11

is that right?

Answer 12

That IS what I get....not 100% sure if it's corrct but I'll check again

Answer 13

yeah i keep getting that...anyone else have an opinion here?

Answer 14

It's correct.

Answer 15

i don't know.