Question

use logarithmic differentiation to find the derivative of g(x)= x^(x)^(2).

Answer 1

implicit differentiation for this one. use logs to get exponents down

Answer 2

\[x^{x^2}\]?

Answer 3

nice

Answer 4

take the log, simplify using properties of the log, then find the derivative, then multiply by the original function

Answer 5

\[\ln(x^{x^2})=x^2\ln(x)\]

Answer 6

take the derivative using product rule

Answer 7

yeup, just what i said :D

Answer 8

ohhh okay so i dont use the natural log

Answer 9

the derivative is
\[x+2x\ln(x)\] then multiply by original thing and be done

Answer 10

that is the natural log yes

Answer 11

ok thanks

Answer 12

yw