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ExploreCalculusDifferentiation: definition and basic derivative rules

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Calculus

Differentiation: definition and basic derivative rules

  • Defining average and instantaneous rates of change at a point
  • Defining the derivative of a function and using derivative notation
  • Estimating derivatives of a function at a point
  • Connecting differentiability and continuity: determining when derivatives do and do not exist
  • Applying the power rule
  • Derivative rules: constant, sum, difference, and constant multiple: introduction
  • Derivative rules: constant, sum, difference, and constant multiple: connecting with the power rule
  • Derivatives of cos(x), sin(x), 𝑒ˣ, and ln(x)
  • The product rule
  • The quotient rule
  • Finding the derivatives of tangent, cotangent, secant, and/or cosecant functions

Small-group help sessions in "Differentiation: definition and basic derivative rules"

Register for a session to review this topic with a small group of learners.

Calculus · series session

Differentiation: definition and basic derivative rules

Today we will connect all of our concepts from the past 3 days with the product and quotient rules, which are 2 cornerstone rules for differentiation.

Shriram N

0
11/15

Calculus · series session

Differentiation: definition and basic derivative rules

Last day of our series! We will take the final test for this unit and go over some real ap exam problems to apply what we learnt over the week.

Shriram N

0
11/15

Calculus · series session

Differentiation: definition and basic derivative rules

In this session, we will be covering the definition of derivatives and some common derivative rules.

Advait S

0
8/15

Adi P

0
1/20

Calculus · series session

Differentiation: definition and basic derivative rules

Unit 2 and 3 of the AP Calculus AB and BC course will be taught together, meaning that you will learn all about derivatives during this session.

Sahasra J

0
3/20

Calculus · series session

Differentiation: definition and basic derivative rules

We will solve some problems regarding derivatives (units 2 and 3)

Sahasra J

0
3/20

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