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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

Similar to the previous session, I will aim to finish all the rules for derivatives. I will also provide practice questions so you guys can get the best out of this. I will also be answering any type of questions along the way.

Malcon O

0
0/10

Calculus · series session

Differentiation: definition and basic derivative rules

Different from the other sessions, I will be introducing the opposite of deriving this being anti-deriving which are essential skills to know for calc AB and beyond. I will be providing lots of practice questions so that everyone can feel confident at this. Thanks again for being here, it means a lot to me.

Malcon O

0
0/10

Calculus · series session

Differentiation: definition and basic derivative rules

This session will focus on fully covering anti-derivative rules, including anti-derivatives for special functions like ln and e. I will also provide practice problems to get better at it.

Malcon O

0
0/10

Calculus · series session

Differentiation: definition and basic derivative rules

Intro to Derivatives - Intuition + Derivation

Emma G

0
4/12

Calculus · series session

Differentiation: definition and basic derivative rules

Computing Derivatives I - Computation + Derivation

Emma G

0
4/12

Calculus · series session

Differentiation: definition and basic derivative rules

Computing Derivatives II - Computation + Derivation

Emma G

0
4/12

Calculus · series session

Differentiation: definition and basic derivative rules

Introduction to Differentiation: Understand the concept of differentiation, its geometric meaning, and its fundamental role in analyzing change.

Benyamin S

0
4/30

Calculus · series session

Differentiation: definition and basic derivative rules

Basic Rules of Differentiation: Learn essential rules, including the power, constant, and sum/difference rules, to calculate derivatives efficiently.

Benyamin S

0
4/30

Calculus · series session

Differentiation: definition and basic derivative rules

Product and Quotient Rules: Master the techniques for finding derivatives of products and quotients of functions with precision.

Benyamin S

0
4/30

Calculus · series session

Differentiation: definition and basic derivative rules

Implicit Differentiation: Discover how to differentiate equations where variables are intertwined, introducing a powerful tool for solving complex problems.

Benyamin S

0
4/30

Calculus · series session

Differentiation: definition and basic derivative rules

Higher-Order Derivatives: Analyze second and higher-order derivatives to understand acceleration, concavity, and other advanced concepts.

Benyamin S

0
4/30

Calculus · series session

Differentiation: definition and basic derivative rules

Applications of Differentiation: Apply differentiation to real-world problems, including optimization, related rates, and curve sketching.

Benyamin S

0
4/30

Calculus · series session

Differentiation: definition and basic derivative rules

Differentiation Review and Problem Solving: Reinforce all differentiation techniques and tackle a wide range of challenging problems in a final review session.

Benyamin S

0
4/30

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