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Chapter 5 – Derivatives and Integrals of Exponential Functions, Logarithms, and Inverse Trigonometry

# Lesson 1 – The Derivative of y=lnx

# Lesson 1 – The Derivative of y=lnx (Part 2)

# Lesson 2 – Integrals with the Natural Log

# Lesson 2 – Integrals with the Natural Log (Part 2)

# Lesson 3 – Derivatives of Inverse Functions

# Lesson 3 – Derivatives of Inverse Functions (Part 2)

# Lesson 4 – The Derivative of y=e^u

# Lesson 4 – The Derivative of y=e^u (Part 2)

# Lesson 5 – Integration with e^x

# Lesson 6 – Derivatives and Integrals of Exponential and Log Functions of All Bases

# Lesson 6 – Derivatives and Integrals of Exponential and Log Functions of All Bases (Part 2)

# Lesson 6 – Derivatives and Integrals of Exponential and Log Functions of All Bases (Part 3)

# Lesson 7 – The Derivatives of Inverse Trigonometric Functions

# Lesson 7 – The Derivatives of Inverse Trigonometric Functions (Part 2)

# Lesson 8 – The Integrals of Inverse Trigonometric Functions

# Lesson 9 – L’Hopital’s Rule

# Lesson 10 – Calculus AB and BC Exam Practice on e, ln, Inverses, and Inverse Trig

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 ln*x* or the natural log, before learning about integrals involving ln*x.* 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!

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