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Chapter 2: Q. 43 (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)=2x+1-5-1-9

Short Answer

Expert verified

The required answer is-92x+1-5-1-10(-102x+1-6)

Step by step solution

01

Step 1. Given Information      

The given function isf(x)=2x+1-5-1-9

02

Step 2. Calculation   

Differentiate both the sides with respect tox, we get,

f'(x)=-92x+1-5-1-9-1ddx2x+1-5-1=-92x+1-5-1-10ddx2x+1-5-ddx1=-92x+1-5-1-10-52x+1-5-1ddx(2x+1)=-92x+1-5-1-10-52x+1-6(2)=-92x+1-5-1-10-102x+1-6

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