   Chapter 2.9, Problem 11E

Chapter
Section
Textbook Problem

# 11-14 Find the differential dy of each function.(a) y = ( x 2 − 3 ) − 2 (b) y = 1 − t 4

To determine

(a)

To find: The differential dy

Explanation

1) Formula:

i. Power rule:

ddxxn=nxn-1

ii. Difference rule:

ddxfx-g(x)=ddxf(x)-ddx(g(x))

iii. Constant function rule:

ddxC=0

iv. Chain rule: If Fx=fogx=fgx then F'x=f'gx*g'x

2) Given:

y=x2-3-2

3) Calculation:

Consider the given function

y=x2-3-2

Take the derivative with respect to x on both sides

ddxy=dd

To determine

b)

To find: The differential dy

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