We wantto applythis definitionto get the derivativeto our logarithmicfunction Usingthe defi-
nitionof the derivativeand the rulesof logarithmsfrom the Lessonon Exponentialand LogarithmicFunctions,
At this stage,let the limit of then becomes Substituting,we get
Insertingthe limit,But by the definition
Fromthe box above,we can express in termsof naturallogarithmby the usingthe formula
Then