Chapter 5 – Derivatives and Integrals of Exponential Functions, Logarithms, and Inverse Trigonometry
This chapter is all about derivatives and integrals of new functions, but also serves as a review of all Calculus applications you have learned! You begin with the derivative of lnx or the natural log, before learning about integrals involving lnx. From here, you will tackle derivatives of inverse functions. Then, it is off to differentiate and integrate e^x. After rocking the Calculus of e, you will learn how to take the derivatives and antiderivatives of exponential and logarithm functions of any base. What follows is a fun journey into the derivatives and integrals of inverse trig functions (arcsin anyone?). The chapter rounds out with a lesson on L’Hopital’s (L’Hospital) Rule and some original AB and BC exam practice problems. A thorough review of precalculus knowledge is given in many lessons to ensure you are fresh on prior knowledge. Let’s get on this!