f(x)=ln(x^(1/5))?

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differentiate the function

2006-10-26 02:29:18 · 3 answers · asked by BLAZER-HM147 2 in Science & Mathematics ➔ Mathematics

f(x)=ln(x^.2)
f'(x)=(1/(x^.2))(.2x^-.2)
=.2x^-.4

2006-10-26 02:38:15 · answer #1 · answered by fcas80 7 · 0⤊ 0⤋

First, use the property ln x^a = a ln x, to rewrite f(x):
f(x) = (1/5) ln x.
Now differentiate:
f'(x) = (1/5) (1/x) = 1/(5x).

2006-10-26 02:37:40 · answer #2 · answered by James L 5 · 0⤊ 0⤋

eleventy six

2006-10-26 02:36:20 · answer #3 · answered by VOOL 5 · 0⤊ 0⤋