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

1 Answer
sankarankalyanam
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]#

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