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