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Chapter 2: Q. 58 (page 222)

Use logarithmic differentiation to find the derivatives of each of the functions in Exercises 49鈥�58.

f(x)=1x+1x

Short Answer

Expert verified

The derivative of function isy'=1x+1x-xx+1+ln1x+1

Step by step solution

01

Step 1. Given Information

The given function isf(x)=1x+1x

02

Step 2. Calculation    

First, we will take the log on both sides and then differentiate it,

lny=ln1x+1xlny=xln1x+11yy'=x11x+1(x+1)0-1(x+1)2+ln1x+1y'=1x+1x-xx+1+ln1x+1

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Most popular questions from this chapter

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