Asked by Erica

If f(x)= (3x)^(3x), then f'(x) = ?

Thank you!
Answered by Reiny
let y = (3x)^(3x)
take ln of both sides

ln y = ln (3x)^(3x)
ln y = 3x ln 3x

(dy/dx) / y = 3x(1/x) + 3ln(3x)
dy/dx = (3 + 3ln(3x)) (3x)^(3x)
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