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Find the derivatives of the functions:f(x)=exlnxx21

Short Answer

Expert verified

The required answer isx2-1ex1x+exlnx+2xexlnxx2-12.

Step by step solution

01

Step 1. Given information. 

The given function is:f(x)=exlnxx21

02

Step 2. Find the derivative of the given function.

f(x)=exlnxx21f'(x)=ddxexlnxx21=x21ddxexlnx+exlnxddxx21x212=x21exddxlnx+lnxddxex+exlnx2xx212=x21ex1x+exlnx+2xexlnxx212

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