Differentiate and simplify: y=(lnx)45
0.8/(x∗ln(x)0.2) is the simplified form of the derivative
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/(x∗ln(x)0.2)
Step 5 :0.8/(x∗ln(x)0.2) is the simplified form of the derivative