1205-hwt0304-slides

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

Info iconThis preview shows pages 1–11. Sign up to view the full content.

View Full Document Right Arrow Icon
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
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
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
Background image of page 2
Outline Graphs of sin x and cos x : Heath David Hart Math 1205 § 3.4: Derivatives of Trigonometric Functions
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
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
Background image of page 4
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
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Outline Example 2 Find the derivatives: a: y = 5 e x + cos x Heath David Hart Math 1205 § 3.4: Derivatives of Trigonometric Functions
Background image of page 6
Outline Example 2 Find the derivatives:
Background image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 8
Background image of page 9

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 10
Background image of page 11
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: b: y = sin x cos x Heath David Hart Math 1205 3.4: Derivatives of Trigonometric Functions Outline Example 2 Find the derivatives: c: y = cos x 1-sin x Heath David Hart Math 1205 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 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 3.4: Derivatives of Trigonometric Functions Outline Example 6 Find y 00 if y = sec x . Heath David Hart Math 1205 3.4: Derivatives of Trigonometric Functions...
View Full Document

Page1 / 11

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

This preview shows document pages 1 - 11. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online