?(a) Find the differential \(dy\) and (b) evaluate \(dy\) for the given values of \(x\)

Chapter 3, Problem 21

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QUESTION:

(a) Find the differential \(dy\) and

(b) evaluate \(dy\) for the given values of \(x\) and \(dx\).

\(y=\sqrt{3+x^{2}}, \quad x=1, \quad d x=-0.1\)

Questions & Answers

QUESTION:

(a) Find the differential \(dy\) and

(b) evaluate \(dy\) for the given values of \(x\) and \(dx\).

\(y=\sqrt{3+x^{2}}, \quad x=1, \quad d x=-0.1\)

ANSWER:

Step 1 of 3

Part (a)

Consider the given function is,

                                                             

Differentiate the function as,

                       

 

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