Problem

Differentiate and simplify: y=(lnx)45

Answer

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Answer

0.8/(xln(x)0.2) is the simplified form of the derivative

Steps

Step 1 :Given the function y=(lnx)45

Step 2 :We can rewrite the function as y=(lnx)4/5

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

Step 4 :The derivative of the function y=(lnx)4/5 is 0.8/(xln(x)0.2)

Step 5 :0.8/(xln(x)0.2) is the simplified form of the derivative

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