Calculus Help

• Limits
• Derivatives
• Applied Derivatives
• Implicit Differentiation and
      Related Rates
• Continuities of Functions
• Optimization
• Integration
• Integration with Chain Rule
• Logs and Exponents
• Arc Trigonometry
• Area by Parts and
      Rotational Volume

Arc Trigonometry

Derivatives and Integrals of Arc Trig

Derivatives of arc trig:

 

 

 

 

2.1   Find the equation of the tangent line to  at 
       
       
       So the point
       
       
       
       

2.2   Given  find y`
       
       

2.3   Given  find y`
       
       

2.4   Given  find y`
       
       

Integrals of arc trig:

 

 

 

 

Note: We don’t need the integrals for cosine or cotangent because the negative can be brought to the front of the integral and the result will be a negative arcsin or arctan.

2.5   Find
                            
       
       
       

2.6   Find
       
       

2.7   Find
                           
       
       
       

2.8   Find  
       
       

2.9   Find
       
                           
       
       
       

2.10  Find  
                           
       
       
       

2.11  Find
       
       
       
       

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