   Chapter 2.9, Problem 17E

Chapter
Section
Textbook Problem

# 15-18 (a) Find the differential dy and (b) evaluate dy for the given values of x and dx. y = 3 + x 2 ,   x = 1 ,   d x = − 0.1

To determine

a)

To find: The differential dy

Explanation

1) Formula:

i. Chain rule

ddx(fgx=f'gx*g'(x)

ii. Power rule

ddxxn=nxn-1

iii. Sum rule

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

iv.

ddxx=12x

2) Given:

y=3+x2

3) Calculation:

Consider the

To determine

b)

To find: The value of dy

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