This preview shows pages 1–5. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Jerk A sudden change in acceleration is called a jerk. Therefore, a Jerk is the derivative of acceleration. If a bodys position at time t is s(t) , the bodys jerk at time t is j t ( )= da dt = d 3 s dt 3 Example 3 A Couple of Jerks a) Determine the jerk caused by the constant acceleration of gravity. b) Determine the jerk of the simple harmonic motion in Example 2. Derivatives of Other Basic Trigonometric Functions d dx tan x ( ) = d dx cot x ( ) = d dx sec x ( ) = d dx csc x ( )= Proof: Calculus Section 3.5 Page 28 Example 4 Finding Tangent and ,ormal Lines Find the equations for the lines that are tangent and normal to the graph of f x ( ) = tan x x at x = 2. Support graphically. Example 5 Two Derivatives a) Find y if y = 5 sin x b) Find y if y = sec x Assignment II5 Page 140 141 #1 10 all 11 23 odd 26 27...
View
Full
Document
This note was uploaded on 02/04/2011 for the course MATH 116 taught by Professor John during the Spring '10 term at St. Michael.
 Spring '10
 John
 Calculus, Derivative

Click to edit the document details