Question

How do you find the derivative of `(ln x)^(1/5)`?

Answer 1

`1/(5x(lnx)^(4/5))`

Explanation:

`"differentiate using the "color(blue)"chain rule"`

`"given "y=f(g(x))" then"`

`dy/dx=f'(g(x))xxg'(x)larrcolor(blue)"chain rule"`

`d/dx((lnx)^(1/5))`

`=1/5(lnx)^(-4/5)xxd/dx(lnx)`

`=1/(5x(lnx)^(4/5))`