### Day 57 - Differentiation of the Natural Logarithmic Function - 11.10.14

 UpdatesNew seats!Unit 4 Test will be open note!Unit 4 Test will be on Friday, 11.14.14Bell RingerIntegration by Substitutionnone of the abovenone of the abovenone of the abovenone of the abovenone of the aboveReviewPrerequisitesDerivativesDerivative RulesPower RuleConstant RuleTrig DerivativesSigma NotationAntiderivativeIndefinite IntegralDefinitionIntegral SignIntegrandVariable of IntegrationConstant of IntegrationGeneral SolutionBasic Integration RulesArea Under a FunctionFundamental Theorem of CalculusIntegration by SubstitutionLessonAntiderivative of 1 / xReview Logarithm PropertiesDifferentiation of the Natural Logarithmic FunctionCheckpointsExit TicketPosted on the board at end of the block. Lesson Objective(s)How can the derivative of natural logarithmic functions be used to solve problems?Standard(s)APC.9Apply formulas to find derivatives.Includes:derivatives of algebraic, trigonometric, exponential, logarithmic, and inverse trigonometric functionsderivations of sums, products, quotients, inverses, and composites (chain rule) of elementary functionsderivatives of implicitly defined functionshigher order derivatives of algebraic, trigonometric, exponential, and logarithmic, functionsMathematical Practice(s)#1 - Make sense of problems and persevere in solving them#2 - Reason abstractly and quantitatively#5 - Use appropriate tools strategically#6 - Attend to precision#8 - Look for and express regularity in repeated reasoningPast CheckpointsAntiderivativeCheckpointsArea Under a FunctionCheckpointsFundamental Theorem of CalculusCheckpointsIntegration by SubstitutionCheckpoints