# How do you find the derivative of #root3(x^-5)#?

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To find the derivative of √3(x^-5), you would use the chain rule of differentiation. First, rewrite the function as (x^-5)^(1/√3). Then, differentiate using the chain rule, which states that the derivative of f(g(x)) is f'(g(x)) * g'(x). The derivative of (x^-5)^(1/√3) is (1/√3)(x^-5)^(1/√3 - 1) * -5x^(-5 - 1). Simplify this expression to get the derivative.

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