Derivative Of X^lnx
#4. What is the derivative of y = x^(ln x) where ln x is the natural logarithm of x.
The function `y = x^(ln x)` . The derivative `dy/dx` has to be determined.
First, take the natural log of both the sides. As `y = x^(ln x)` , `ln y = ln(x^(ln x))`
(The entire section contains 116 words.)
check Approved by eNotes Editorial