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

233,740 expanded word form
You are given 3 yards of tape to make evidence labels. how many labels 20 cm in length can you make?
How would you write six and twenty five hundredths with a decimal point?
Why is photosynthesis a chemical change?
four times y to the fourth power
What might have been some of the reasons people began moving around the world
what is 9.35 as a fraction
A certain skin lotion is a fine mixture of water and various oils. This lotion is cloudy and cannot be separated into oil and water by filtration or centrifuge.
Michael wanted to measure the temperature of an object. Which SI unit should he use? a. milliliter b. kilogram c. Fahrenheit d. Kelvin
Which is an example of the associative property? A. –(18 + 3) = –18 + (–3) B. –17 + 0 = –17 C. (–8 + 10) + 4. = –8 + (10 + 4) D. –5 + 7 = 7 + (–5)