Question

derivate (2x)^x

Answer 1

\[(2x)^x = 2^xx^x\]Use product rule.
\[\frac{ d }{ dx } x^x = x^x(1+\ln(x))\]

Answer 2

Let y = (2x)^x --> ln y = xln (2x)
take derivative both sides to get y'/y = (.......)
then get y' = y * the right hand side above