   Chapter 2.9, Problem 15E

Chapter
Section
Textbook Problem

# 15-18 (a) Find the differential dy and (b) evaluate dy for the given values of x and dx. y = tan x ,   x = π / 4 ,   d x = − 0.1

To determine

a)

To find: The differential dy

Explanation

1) Formula:

Trigonometric rule:

ddx(tanx)=sec2x

2) Given:

y=tanx

3) Calculation:

Consider the given function y=tanx

Differentiate with respect to x on both sides

ddxy=d

To determine

b)

To evaluate: The value of dy for given values of x and dx

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