alexaguilar9010 alexaguilar9010
  • 28-06-2021
  • Mathematics
contestada

if f(y)=y^6/6lny-y^6/36, find f'(y)

Respuesta :

LammettHash
LammettHash LammettHash
  • 28-06-2021

It looks like you have

[tex]f(y)=\dfrac{y^6}{6\ln(y)}-\dfrac{y^6}{36}[/tex]

Differentating gives

[tex]f'(y)=\dfrac{6y^5\times6\ln(y)-6y^6\times\frac1y}{(6\ln(y))^2}-\dfrac{6y^5}{36}= -\dfrac{y^5\left(\ln^2(y)-6\ln(y)+1\right)}{6\ln^2(y)}[/tex]

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