Michaelkpantirampidn
Answered

IDNLearn.com: Your trusted source for finding accurate answers. Join our Q&A platform to get accurate and thorough answers to all your pressing questions.


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

Sagot :

Sreedevi102idn

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]

Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Find clear answers at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.