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Saturday, August 17, 2013

Derivative - Logarithmic Functions

Category: Differential Calculus, Algebra

"Published in Suisun City, California, USA"

Find the derivative for


Solution:

Consider the given equation above


If the logarithmic function has no base, then it is understood that the value of a base is 10. If the base of a logarithm is 10 or missing, then it is a common logarithm. 

Take the derivative of the above equation with respect to x using the formula for getting the derivative of a logarithmic function, we have




Take the derivative at the right side of an equation with respect to x using the formula for getting the derivative of rational functions, we have




  
Therefore,