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


[tex]y = {x}^{x} [/tex]
Find
[tex] \frac{dy}{dx} [/tex]
​

Respuesta :

sreedevi102
sreedevi102 sreedevi102
  • 02-06-2021

Answer:

[tex]y = x^x\\\\log y = x log x\\\\\frac{1}{y} \frac{dy}{dx} = x \cdot \frac{1}{x} + log x\\\\\frac{1}{y} \frac{dy}{dx} = 1 + log x\\\\\frac{dy}{dx} = y (1 + log x)\\\\\frac{dy}{dx} = x^x(1 + log x)[/tex]

Answer Link

Otras preguntas

Multiple Choice: Please select the best answer and click "submit." Which of the following is not a quality of a productive discussion? A. Proposing a claim
The real-life setting and surrounding circumstances of a story is called
Exhalation removes what from the body.
A circular pool with a diameter of 18 ft will have a uniform 4 ft concrete walkway poured around it. If the concrete cost $4.25 a square foot of surface area, a
Which of the following items served as the basis for the diet of the Indi of Mesoamerica? 1. peanut 2. cotton 3. maize 4. sweet potato
The three-faiths compromise determined that
A grass starts with 30,000 MJ of energy. How much energy would a cheetah acquire after it ate a zebra that consumed the grass
Which art category does this image most reflect?
olisa has a garden shop. One customer wants to buy 42 Snapdragon plants. There are six snapdragons in a pack. How many packs should olisa sell to her customer?
Set builder notation of {0, 00, 10, 000, 010, 100, 110}?