Question

The derivative of √x-1/x(x^1/3) is
Answer is 1/2x^-1/2+4/3x^-7/3
Please explain how to get to this answer

Answer 1

\[\Large\sqrt x-\frac1x\sqrt[3]x\]

Answer 2

Is this what you mean?

Answer 3

I believe that it's \(\Large\displaystyle\sqrt x-\frac1{x\sqrt[3]x}\)

Answer 4

Convert everything to powers of x

Answer 5

yes that's what I mean

Answer 6

\[\sqrt x=x^{\frac12}\]\[\sqrt[3]x=x^{\frac13}\]