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

PLEASE HELP PLEASE PLEASE PLEASE PLEASE PLEASE. I HAVE MORE POINTS IF YOU WANT THEM I JUST NEED SOME QUESTIONS ANSWERED. PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
A particular sample of pure iron requires 0.612 kJ of energy to raise its temperature from 30.°C to 51°C. What must be the mass of the sample? (See the table be
help me ez not that hard ty
Did the end of World War lead to World War II?
help me please thank you!!
Becky wants to eat 1/4 of a small pumpkin pie. which if the following statements are correct? select all that apply a) If she cuts the pie into 8 pieces of the
The graph of a line and and exponential intersect twice, once, or not at all. Describe the possible number of intersections of each of the following pairs of gr
WILL MARK BRAINLIEST FOR CORRECT ANSWER Continue reading from Ruby Bridges’s autobiography. We drove down North Galvez Street to the point where it crosses Alva
What is 3 pointing to
Dee whether the bangles are shofe, welte a similarity statement AV X