Differentiate f(x)=x^(9x) ?

1 Answer
Jun 18, 2018

color(blue)(f'(x) = 9x^(9x) [ln x + 1]

Explanation:

f(x) = x^(9x)

f'(x) = (d/(dx)) (x^(9x))

f'(x) = x^(9x) * (d / (dx)) (ln x * 9x)

f'(x) = 9 x^(9x) * [(ln x ) + (x * 1/x)]

color(blue)(f'(x) = 9x^(9x) [ln x + 1]