MATH 2204 Lecture 23: MATH-2204 - 13-2 - Derivatives & Integrals of Vector Functions

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Derivatives & Integrals of Vector Functions
Daniel Eisert | Math-2204
Derivative of a vector function: take the derivative of each component separately
      
o Unit tangent vector:


o Properties:
1.
     
2.
   
3.
    
4.
        
5.
        
6.
    Chain Rule
Integral of a vector function: the Fundamental Theorem of Calculus of continuous vector
function can be extended for integrating vectors such that:
13.2 Examples
13.2
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