michaelkpantiramp
michaelkpantiramp michaelkpantiramp
  • 02-06-2021
  • Mathematics
contestada

y=X^x. Find dy÷dx
[tex]y = {x}^{x} [/tex]
​

Respuesta :

Harshiiiii
Harshiiiii Harshiiiii
  • 06-06-2021

Answer:

if you don't understand please find the attachment

Step-by-step explanation:

We have, y=x ^x

Taking log on both the sides, we get

logy=xlogx

On differentiating w.r.t. x, we get

=

x

x

+logx

⇒

dx

dy

=y+ylogx

⇒

dx

dy

=x x

(1+logx) ....(∵y=x ^x )

Ver imagen Harshiiiii
Answer Link

Otras preguntas

how do you balance __H2SO4 + __B(OH)3 --> __B2(SO4)3 + __H2O
Hey guys, I need 5 sentences!¿Prefieres viajar en coche, en tren, en barco o en avión? ¿Por qué?
What are the advantages and disadvantages of globalization
how do you balance __H2SO4 + __B(OH)3 --> __B2(SO4)3 + __H2O
how do you balance __H2SO4 + __B(OH)3 --> __B2(SO4)3 + __H2O
What are the advantages and disadvantages of globalization
What are the advantages and disadvantages of globalization
What are the advantages and disadvantages of globalization
how do you balance __H2SO4 + __B(OH)3 --> __B2(SO4)3 + __H2O
Hey guys, I need 5 sentences!¿Prefieres viajar en coche, en tren, en barco o en avión? ¿Por qué?