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Unformatted text preview: Jerk A sudden change in acceleration is called a “jerk”. Therefore, a Jerk is the derivative of acceleration. If a body’s position at time t is s(t) , the body’s 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 II–5 Page 140 – 141 #1 – 10 all± 11 – 23 odd± 26± 27...
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 Spring '10
 John
 Calculus, Trigonometry, Derivative, Mathematical analysis, Euler's formula, Calculus Section

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