### Day 69 - Work Day - 12.01.14

 UpdatesUnit 5 Test on Friday!Go over Summative Exam 2LinkBell RingerPosted on boardReviewLesson$\int\sin(x)dx=-\cos(x)+C$$\int\cos(x)dx=\sin(x)+C$$\int\tan(x)dx=-\ln |cos(x)|+C$$\int \csc(x)dx=-\ln|\csc(x)+\cot(x)|+C$$\int \sec(x)dx=\ln|\sec(x)+\tan(x)|+C$$\int \cot(x)dx=\ln|\sin(x)|+C$Exit TicketPosted on the board at end of the block. Lesson Objective(s)How are derivatives found when bases are not e?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 CheckpointsDifferentiation of the Natural Logarithmic FunctionCheckpointsIntegration with the Natural Logarithmic FunctionCheckpointsExponential Functions: Differentiation and IntegrationCheckpoints