Problem

Differentiate and simplify: $y=\sqrt[5]{(\ln x)^{4}}$

Solution

Step 1 :Given the function \(y=\sqrt[5]{(\ln x)^{4}}\)

Step 2 :We can rewrite the function as \(y=(\ln x)^{4/5}\)

Step 3 :Using the chain rule and the power rule, we differentiate the function

Step 4 :The derivative of the function \(y=(\ln x)^{4/5}\) is \(0.8/(x*\ln(x)^{0.2})\)

Step 5 :\(\boxed{0.8/(x*\ln(x)^{0.2})}\) is the simplified form of the derivative

From Solvely APP
Source: https://solvelyapp.com/problems/8919/

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