   Chapter 2.9, Problem 18E

Chapter
Section
Textbook Problem

# 15-18 (a) Find the differential dy and (b) evaluate dy for the given values of x and dx. y = x + 1 x − 1 ,   x = 2 ,   d x = 0.05

To determine

a)

To find: The differential dy

Explanation

1) Formula:

i. Quotient rule

ddxfxgx=gx*ddx(fx- fx*ddx(gxgx2

ii. Sum rule

ddxfx+gx=ddx(fx+ddx(g(x)

iii. Power rule

ddxxn=nxn-1

iv. Constant term,

ddxc= 0

2) Given:

y=x+1x-1

3) Calculation:

Consider the given function

y=x+

To determine

b)

To find: The value of dy

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