![]() Tons of free response and multiple choices questions await you! Chapter 5 – Derivatives and Integrals of Exponential Functions, Logarithms, and Inverse Trigonometry The final stop in this epic chapter consists of oodles of original AB and BC exam practice problems involving integration concepts. The chapter begins to wind down with a fun exploration of “U” substitution or integration by substitution. The First Fundamental Theorem of Calculus will have you finding areas between the x-axis and a graph easily! With this knowledge comes finding average value and the Second Fundamental Theorem of Calculus as you find derivatives of integrals. You will see the beauty of definite integrals and their properties along with finding area of graphs forming geometric figures. Riemann sums, midpoint, and trapezoidal sums master you in the art of approximating area between the curve and the x-axis. ![]() This chapter opens with rocking the antiderivative and a tour through all the basic integration rules and fundamental problem types. Not a member yet? Click here to check out a bunch of free videos! Chapter 4 – Integration TONS of original AB and BC Exam practice problems all about the applications of the derivative close out the chapter! From there, you will make quick work of Newton’s method. You will master the fun and classic lesson on optimization and make easy work of tangent line approximations (local linearization) and differentials. You will then learn how to sketch curves using all of the calculus rocked thus far. From there your quest takes you through using f ‘ to figure out where f is increasing and decreasing along with rocking the First Derivative Test! The study of the second derivative, f “, and the concavity and points of inflection of f is the next important stop. Then it is off to Rolle’s and the Mean Value Theorems. ![]() This chapter is all about the awesome applications of derivatives! You begin with absolute extrema and finding critical numbers. Time to dive in and get your blind blown by the beauty of the derivative!!! Chapter 3 – Uses of the Derivative The chapter rounds out with a rockin’ study of related rates and a host of Advanced Calculus AB and BC free response and multiple choice practice questions featuring all you learned about the derivative. From there, it is time to shine a light on differentiation rules so you can then tackle position, velocity, and acceleration – all very cool! Then, it is off to master the Product, Quotient, and Chain Rules and then on to implicit differentiation. This chapter begins your epic quest through differential calculus! You will start with the concept and limit definition of the derivative before learning about differentiability and sketching graphs of the derivative of f(x).
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