1205-hwt0304-slides

# 1205-hwt0304-slides - b y = sin x cos x Heath David Hart...

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Outline Math 1205 § 3.4: Derivatives of Trigonometric Functions Heath David Hart Fall 2007 Heath David Hart Math 1205 § 3.4: Derivatives of Trigonometric Functions

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Outline Table of Contents: Notes for Day 12: § 3.4: Derivatives of Trigonometric Functions Heath David Hart Math 1205 § 3.4: Derivatives of Trigonometric Functions
Outline Graphs of sin x and cos x : Heath David Hart Math 1205 § 3.4: Derivatives of Trigonometric Functions

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Outline Graphs of sin x and cos x : One of these graphs is the derivative of the other. Can you tell which is the derivative by inspecting the graphs? Heath David Hart Math 1205 § 3.4: Derivatives of Trigonometric Functions
Outline Derivatives of sin x and cos x : d dx sin x = cos x d dx cos x = - sin x Heath David Hart Math 1205 § 3.4: Derivatives of Trigonometric Functions

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Outline Example 2 Find the derivatives: a: y = 5 e x + cos x Heath David Hart Math 1205 § 3.4: Derivatives of Trigonometric Functions
Outline Example 2 Find the derivatives:

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Unformatted text preview: b: y = sin x cos x Heath David Hart Math 1205 Â§ 3.4: Derivatives of Trigonometric Functions Outline Example 2 Find the derivatives: c: y = cos x 1-sin x Heath David Hart Math 1205 Â§ 3.4: Derivatives of Trigonometric Functions Outline Example 3 An object on a spring is stretched 5 cm be-yond its rest position and released. Its position at time t is s = 5 cos t . Find its velocity and acceleration. Heath David Hart Math 1205 Â§ 3.4: Derivatives of Trigonometric Functions Outline The other derivatives: d dx tan x = sec 2 x d dx cot x =-csc 2 x d dx sec x = sec x tan x d dx csc x =-csc x cot x Heath David Hart Math 1205 Â§ 3.4: Derivatives of Trigonometric Functions Outline Example 6 Find y 00 if y = sec x . Heath David Hart Math 1205 Â§ 3.4: Derivatives of Trigonometric Functions...
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1205-hwt0304-slides - b y = sin x cos x Heath David Hart...

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