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Find the derivatives of each of functions in Exercises 17–44. In some cases it may be convenient to do some preliminary algebra.

fx=lnx2+1ex-13

Short Answer

Expert verified

The required answer isf'x=-13exlnx2+1+ex-13·2xx2+1

Step by step solution

01

Step 1. Given information.

The given function is:

fx=lnx2+1ex-13

02

Step 2. Find the derivative of the given function.

fx=lnx2+1ex-13f'x=ddxlnx2+1ex-13=-13exlnx2+1+ex-13·1x2+1·2x=-13exlnx2+1+ex-13·2xx2+1

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