Question

Let y=ln(x) find the fifth derivative of y pls? (d^5y/dx) the one in curry bracket is same as fifth derivative so pls don't get confused

Answer 1

`y_5=24x^-5=24/x^5`

Explanation:

Here,

`y=lnx`

`=>(dy)/(dx)=1/x`

`=>y_1=x^-1`

`=>y_2=-1x^-2=-x^-2....{-(1!)/x^2}`

`=>y_3=2x^-3..................{+(2!)/x^3}`

`=>y_4=-6x^-4.............{-(3!)/x^4}`

`=>y_5=24x^-5=24/x^5....{+(4!)/x^5}`

Note:
`y_n=-((n-1)!)/x^n,n` is even
`y_n=+((n-1)!)/x^n,n` is odd