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

Convert (765)octal into hexadecimal​
Find the measure of x. 42° X 17 x= [ ? Round to the nearest hundredth.
PLEASE HELP True or false
a 10.00mf parallel-plate capacitor is connected to a 24.0v battery. after the capacitor is fully charged ,the battery is disconnected without loss of any of c
what are the effects and causes of the 2008 global crises especially in the usa?
This passage from the declaration explains
Solve x2 − 3x = −8. (2 points) x equals quantity of 3 plus or minus I square root of 29 all over 2 x equals quantity of 3 plus or minus I square root of 23 all
Nadine had 20 minutes to do a three-problem quiz. She spent 10 7/10 minutes on question A and 6 2/5 minutes on question B. How much time did she have left for q
how many lines of symmetry does the following figure have ?
Use the given graph to determine the limit, if it exists.