Question

Differentiate: y= x^(1-x)

Answer 1

Use logarithmic properties:
\[\Large y(x)=x^{1-x} \\ \Large \ln(y)=(1-x)\cdot \ln x = \ln x - x\ln x \]
and then differentiate.

Answer 2

Is this the answer? x^(1-x) times (-1/x)