If f(x)= x^(-1/3), what is the derivative of the inverse of f(x)
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If f(x)= x^(-1/3), what is the derivative of the inverse of f(x)

[From: ] [author: ] [Date: 11-10-31] [Hit: ]
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Inverse of f(x) is 1/x^3. Take the derivative of it. Power rule for this one:

-3*1/x^(3+1) = -3/x^4

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y = x^(-1/3)
x = y^(-1/3)
1/x = y^(1/3)
x^(-3) = y

y = x^(-3)
dy/dx = -3 * x^(-4)
dy/dx = -3 / x^4

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hmmm difficult one
1
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