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

The half-life of an element is 100 years. If a 40 gram sample was originally deposited, how much is left after 200 years? Question 3 options: 10 grams 20
Draw a number line and graph the solution of x < 2
European powers met at the 1884 Berlin Conference in order to:
James mcpherson why the men fought in the civil war
Who created a vast network of roads to link the empire? Question 6 options: Maya Inca Aztec
Calculate the rms speed of co molecules at 320 k .
PLEASE HELP THIS IS THE LAST QUESTION!! Which of the following represents the zeros of f(x) = x3 − 3x2 − 2x + 6? −3, −square root of 2, −square root of 2 3, −sq
Why did china invade vietnam in 1979? as punishment for vietnam's invasion of cambodia to install a communist government to take control of the communist moveme
Which of the following shows the correct order from coldest to hottest average annual temperature? A. taigaright arrowtundraright arrowrain forestright arrowte
A famous Disney Movie partially takes place in this city