2.10 Derivatives of bases other than e
This is the tenth lesson in the Derivatives Unit. The lesson contains Guided Notes, homework, SmartBoard lesson, and all solutions. Don’t forget the added bonus of a math joke embedded into the Smartboard lesson ☺! You may have also opted to purchase the video lesson to the notes.
In this lesson, students will learn how to find derivatives of exponential functions other than e and logarithms that have bases other than e. Prior to this lesson, students should be aware of log properties. If they are unfamiliar with the properties of logs, it is a good idea to review them. By the end of the lesson, students will see examples of the Product, Quotient, and Chain Rule with exponential functions. Additionally, they will work with ax and trigonometric functions and finding tangent lines. Students also will be able to differentiate log_ax with the Product, Quotient, and Chain Rules. They will also understand how to take the derivative of logarithms involving trig functions and finding tangent lines. Finally, students will see how knowing log properties can help them with more difficult derivatives. They must understand that they can only apply log properties when taking a derivative of a log function.
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All the best,