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

1 Answer
Mar 29, 2018

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