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

The tendency for people to become more extreme in their attitudes as a result of group discussion is called _______.
The federalist papers were published in 1787 and 1788 to help gain support for
In the adult, the internal reproductive organs and the urinary bladder are "housed" in which body cavity?
Which type of bone has the least amount of spongy bone relative to its total volume?
When a molecule can best be represented as a series of resonance forms, each of these forms always contributes to the same degree in the hybrid?
How did the Hellenistic kings spread Greek culture
The available farmland in Mali is in the northeast. True or false
what was considered an act of war in 1914?
What allows small vertical movements to grow until they produce turbulent airflow?
what is the theoretical probability of picking a diamond from a standard deck of car