How do you take the derivative of x^(1/5)
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How do you take the derivative of x^(1/5)

[From: ] [author: ] [Date: 11-09-25] [Hit: ]
......
please.. im confused. i know i needa subtract 1 from 1/5 and from there im lost on the fractions.

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

f'(x) = 1/5 * x^(1/5 -1)

f'(x) = 1/5 * x^(-4/5)

f'(x) = 1/5 / x^(4/5)

Hope this is clear!

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(1/5) - 1 is the same as (1/5) - (5/5) = - (4/5)

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d/dx of x^(1/5)= (1/5)*x^((1/5)-1)
=(1/5)*x^(-4/5)
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