Differentiation: definition and basic derivative rules

We will learn about more differentiation formulas (for trigonometric functions, e^x, lnx, etc) and various rules like the chain, quotient, product, and power rules!

We will go over some multiple choice and free response questions that are typical of the second unit taught (Differentiation part 1)

It is suggested that you have gone through/reviewed the second unit of AP Calculus AB by this point -- either in school or on your own.

If you have not, I will try my best to additionally cover any holes in content.

The start of derivatives, the fundamentals of calculus.

We will cover the basic rules of differentiation and try out a few sample questions.

We will cover basic differentiation (think of it like a differentiation introduction).

We'll continue talking about derivatives

Problems with differentiation

We'll continue going over limits, as well as starting derivatives.

Transition from limits to derivatives, begin explaining the concept of a derivative and its history

Derivative proofs and introduction of more concepts into differentiation

This session will involve a review of the definition of a derivative as well as basic differentiation rules. It will end with practice problems and solutions.

This session is part 2/4 on derivatives and will get all August SAT takers up to speed on Derivatives. We'll do continue our intro to derivatives, apply the power rule, product, & quotient rules to various problems, and begin connecting Continuity and Derivatives.

This session is part 1/2 of your introduction to derivatives. We'll explore the concept of rate of change to gain an intuitive understanding, followed by the 3 key rules of this unit: The Power rule, Product rule, and Quotient rule. We'll also review basic properties of derivatives and derivatives of functions like e^x, sin x, cos x, and ln x.

In this next session, we will go over the topic of basic differentiation, including the key concepts, rules, and formulas that are significant in this unit. We will also go over practice problems to help solidify understanding through Khan Academy.

Note: this session will be a little longer than the usual 90 minutes.

Higher-order derivatives

This lesson will cover The next step of the basics of differentiation, which is the product and quotient rules, higher order derivatives, and the derivatives of log(x), ln(x), and a^x.

I hope for this to be a flexible session to fit to whatever will help you the most! We can cover any of the following topics: definition of a derivative, why it's useful, the formal definition, the power rule, the product rule, the quotient rule, derivative of trig functions. You are welcome to bring questions you need help with, or I can supply practice problems! I hope for this to be an interactive session with all students getting involved!

Calculating higher-order derivatives

This session is specifically made for a learner.

We will learn the basics of one of the most important backbones of calculus bc, the derivative! We will cover secant lines as well as tangent lines and their relations to derivatives. Then we will cover basic derivative rules as well as PVA, which is position velocity and acceleration.

This session is made specifically for one learner.

Let's answer this question: What are derivatives? How can we use them?

We will do several practice problems

We will go over key concepts and do several practice problems!

In this session, we will prove the trig derivatives, then we will prove the product and quotient rules. We will also start mentioning antiderivatives more - in that we need to talk about how to reverse all the derivatives we've been doing.