Скачать с ютуб Could you maybe explain why we cannot take d/dx(x^x)? YouTube viewer problem в хорошем качестве

Could you maybe explain why we cannot take d/dx(x^x)? YouTube viewer problem

A viewer asked me why we cannot take the derivative of x^x. The truth is, of course, we could, as long as we do it correctly. A common mistake that many calculus students make is to say d/dx(x^x)=x*x^(x-1) because they used the power rule for derivative incorrectly. Here we will review when we can actually use the power rule, i.e. d/dx(x^n)=n*x^(n-1) and then we will see the correct way to differentiate x^x by using logarithm. ----------------------------- Support this channel and get my calculus notes on Patreon: 👉   / blackpenredpen   Get the coolest math shirts from my Amazon store 👉 https://amzn.to/3qBeuw6 ----------------------------- #calculus #bprpcalculus #apcalculus #tutorial #math