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

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Answer 1 · 2018-03-29T20:20:55

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

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