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

Logarithms and Exponents

Derivatives of Logs

Logs of functions more complex than x:
 

For example:

 

Applications of log problems:

1.1   Given  find the line tangent to y at x = 3
       
       
       
       

1.2   Given , at the instant x = 4, how fast is y increasing in units/sec when x is increasing at 2 units/sec
       
        to time
       
       y is increasing at  units/sec

1.3   Given ,find y`
       
       
       
       

1.4   Given ,find y`
       
       
       

1.5   Given ,find y`
       
       
       
       

1.6   Find
       
       
       
        
       

1.7   Find
       
        
        
        

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