Explanation The slope of the line can be calculated by the use of derivative formula as given below. Formula used: Formula for the slope is d y d x = f ( θ ) Cos θ + f ' ( θ ) Sin θ − f ( θ ) Sin θ + f ' ( θ ) Cos θ , here, f ( θ ) = r = θ Calculation: (1) Slope of tangent line at θ = π 2 d y d x = θ Cos θ + ( 1 ) Sin θ − θ Sin θ + ( 1 ) Cos θ = θ Cos θ + Sin θ Cos θ − θ Sin θ | d y d x | θ = π 2 = π 2 Cos ( π 2 ) + Sin ( π 2 ) C...

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ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Chapter 12.3, Problem 53E

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The slope of the tangent line to $r = θ$ at $θ = \frac{π}{2}$ and $θ = π$ .

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Chapter 12.3, Problem 52E

Chapter 12.3, Problem 54E

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Chapter 12 Solutions

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Ch. 12.1 - Prob. 1PQ Ch. 12.1 - Prob. 2PQ Ch. 12.1 - Prob. 3PQ Ch. 12.1 - Prob. 4PQ Ch. 12.1 - Prob. 5PQ Ch. 12.1 - Prob. 6PQ Ch. 12.1 - Prob. 7PQ Ch. 12.1 - Prob. 1E Ch. 12.1 - Prob. 2E Ch. 12.1 - Prob. 3E

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The slope of the tangent line to r = θ at θ = π 2 and θ = π .

Solution Summary: The author explains how the slope of the tangent line can be calculated by the use of derivative formula.

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The slope of the tangent line to $r = θ$ at $θ = \frac{π}{2}$ and $θ = π$ .

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Chapter 12 Solutions

The slope of the tangent line to r = θ at θ = π 2 and θ = π .

Solution Summary: The author explains how the slope of the tangent line can be calculated by the use of derivative formula.

Videos

The slope of the tangent line to r=θ at θ=π2 and θ=π.

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Chapter 12 Solutions

The slope of the tangent line to $r = θ$ at $θ = \frac{π}{2}$ and $θ = π$ .