# Shared Flashcard Set

## Details

Calculus Exam 2
Sections 2.4-3.5 of Thomas' Calculus Alternat Edition
15
Mathematics
03/19/2006

Term
 Derivative of sine
Definition
 (sinx)'=cosx
Term
 Derivative of cosine
Definition
 (cosx)'=-sinx
Term
 Simple Harmonic Motion
Definition
 Can explain the actions of an object bouncing up and down at the end of a spring. It assumes that there is no resisting forces acting upon the object.
Term
 Simple Harmonic Motion Position
Definition
 Refers to the function of the body's position after the bouncing begins with respect to time in t
Term
 Simple Harmonic Motion Velocity
Definition
 Describes the velocity of the object at time time. It is the derivative of the position function: velocity=(position fxn)'
Term
 Simple Harmonic Motion Acceleration
Definition
 Shows changes in direction and speed of the body with respect to time. It is the derivative of the velocity function, which makes it the 2nd order derivative for the position function: acceleration=(velocity)' and acceleration=(position)''
Term
 Simple Harmonic Motion Jerk
Definition
 Shows a sudden change in acceleration. Jerk is responsible for you drink spilling when you make a sharp turn. It is the derivative of the acceleration function, the 2nd order derivative for velocity and the 3rd order derivative for the position function: jerk=(acceleration)' and jerk=(velocity)'' and jerk=(position)'''
Term
 Related Trig Functions
Definition
 Breaking down complicated trig functions can help to simplify complicated derivative problems for trig functions.
Term
 Related Trig Fxns tanx
Definition
 [image]
Term
 Related Trig Fxns cotangent cotx
Definition
 [image]
Term
 Related Trig Fxns secant secx
Definition
 [image]
Term
 Related Trig Fxns cosecant cscx
Definition
 [image]
Term
 Derivatives of Trig Fxns derivative of tangent x (tanx)'
Definition
 [image]
Term
 Derivative of Trig Fxns derivative of cotangent x (cotx)'
Definition
 [image]
Term
 Derivative of Trig Fxns derivative of secant x (secx)'
Definition
 [image]
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