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Derivatives of Logarithmic Functions
John Napier (1550–1617), the inventor of logarithms
Pg.244 deriving formulas from
definition
Pg.244 deriving formulas from
definition
Example: Find the derivative.
3ln 2 xxf
Example: Find the derivative.
1
ln
x
xxf
One more example !!!
Find the derivative of
Lets try this again
Find the derivative of
therefore
so…
Logarithmic Differentiation
The derivative of is to messy to calculate directly
so we first take the natural logarithm of both sides and use its properties.
therefore