darianeduvall darianeduvall
  • 04-12-2019
  • Mathematics
contestada

Find the derivative.

Find the derivative class=

Respuesta :

maciel1355
maciel1355 maciel1355
  • 04-12-2019

Answer:

y prime = [tex]\frac{2x}{ln(x)} -\frac{x}{(ln(x))^2}[/tex]

Step-by-step explanation:

y = x^2 / ln(x)

Rewrite equation

y = x^2 * (ln(x))^-1

Use product and chain rule

y prime = 2x(lnx)^-1 + (x^2)(-1(lnx)^-2*(1/x)

Simplify

y prime = [tex]\frac{2x}{ln(x)} -\frac{x}{(ln(x))^2}[/tex]

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