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Exploring Calculus
Proofs and Derivations
(c) 1999-2022 David Kaplan

 

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The Derivative

Inverse Trig and Hyperbolic Functions

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The Power Rule

  Graphing arcsine and arctan

Limits

The Product Rule

The derivative of arcsine and arctan

The Squeeze Theorem

The Chain Rule

Graphing y = sinh x and y = cosh x

The limit of (sinx)/x

The Derivative of sinx

The derivative of inverse sinhx, coshx and tanhx

The limit of (1-cosx)/x

Derivative Applications

 Integral

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Newton's Method

The First Fundamental Theorem of Calculus

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The Mean Value Theorem

The Second Fundamental Theorem of Calculus

 

Exploring Calculus
Discovery Modules

Review Sheets



 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

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This document was last modified on 16-Apr-00.