Calculus: Graphical, Numerical, Algebraic

3rd Edition

ISBN: 9780133688399

Author: Finney, Ross L.

Publisher: Pearson/Prentice Hall

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Question

Chapter 4.1, Problem 25E

To determine

To calculate:The differentiation of the given function.

Expert Solution & Answer

Answer to Problem 25E

The differentiation is $−sec2(2−θ)$ .

Explanation of Solution

Given information: Given function is $r=tan(2−θ)$ .

Formula used: $d(tanx)dx=sec2x$ with chain and subtraction rule.

Calculation:

$r=tan(2−θ)$

Differentiate with respect to $θ$ ,

$drdθ=d[tan(2−θ)]d(2−θ)×d(2−θ)dθdrdθ=sec2(2−θ)×(−1)drdθ=−sec2(2−θ)$

Chapter 4.1, Problem 24E

Chapter 4.1, Problem 26E

Chapter 4 Solutions

Calculus: Graphical, Numerical, Algebraic

Ch. 4.1 - Prob. 1QR Ch. 4.1 - Prob. 2QR Ch. 4.1 - Prob. 3QR Ch. 4.1 - Prob. 4QR Ch. 4.1 - Prob. 5QR Ch. 4.1 - Prob. 6QR Ch. 4.1 - Prob. 7QR Ch. 4.1 - Prob. 8QR Ch. 4.1 - Prob. 9QR Ch. 4.1 - Prob. 10QR

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