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Chapter 2: Q. 27 (page 210)

Find the derivatives of the functions in Exercises 21鈥�46. Keep in mind that it may be convenient to do some preliminary algebra before differentiating.

f(x)=xx+1-2

Short Answer

Expert verified

The required answer is-2xx+1-3x+1+x2x+1

Step by step solution

01

Step 1. Given Information 

The given function is f(x)=xx+1-2

02

Step 2. Calculation   

Differentiate both the sides with respect to x, we get,

f'(x)=-2xx+1-2-1ddxxx+1=-2xx+1-3ddxxx+1+xddxx+1=-2xx+1-3x+1+12xx+112-1ddxx+1=-2xx+1-3x+1+x2x+1

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