In this video I derive the derivative of logarithmic and natural logarithmic functions using implicit differentiation and the chain rule. The derivative of natural log is much simpler than other logarithmic functions and thus why it is used more in mathematics.
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Derivatives of Logarithmic Functions: y = loga(x) and y = ln(x)
Derivation Using Implicit Differentiation
Example 1
y = ln(x3 + 1)
Solution:
Example 2
y = ln(sin x)
Solution: