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Find the higher order derivative of $\sqrt[5]{x}$

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Solution

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Step-by-step Solution

Problem to solve:

$\frac{d^3}{dx^3}\left(\sqrt[5]{x}\right)$

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Final Answer

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Find the derivativeFind (d^3)/(dx^3)(x^1/5) using the product ruleFind (d^3)/(dx^3)(x^1/5) using the quotient ruleFind (d^3)/(dx^3)(x^1/5) using logarithmic differentiationFind (d^3)/(dx^3)(x^1/5) using the definition

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Main topic:

Differential Calculus

Time to solve it:

~ 0.02 s

Related topics:

Differential CalculusHigher-order derivatives

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