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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"

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Calculus · series session

Differentiation: definition and basic derivative rules

Differentiation: definition and basic rules

Teo K

0
7/10

Calculus · series session

Differentiation: definition and basic derivative rules

We will cover the product rule (explanation and practice)

Mohamed Ilyas B

0
3/10

Calculus · series session

Differentiation: definition and basic derivative rules

We will cover the quotient rule (explanation and practice)

Mohamed Ilyas B

0
3/10

Calculus · series session

Differentiation: definition and basic derivative rules

Rates of Change
Derivative of a Function using the limit definition
Tangent & Normal Lines

Hyemin L

0
5/30

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
2 spots left!

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
2 spots left!

Calculus · series session

Differentiation: definition and basic derivative rules

Today we will define Differentiation. Before calculus, there was no way to find the slope at a particular value, however using the concept of a limit, it is possible to make sense of this. The derivative has numerous applications in business and finance, physics, and many other areas, as we will see later in this course.

Noah B

0
6/30

Calculus · series session

Differentiation: definition and basic derivative rules

The Chain Rule
The Product & Quotient Rule


Hyemin L

0
5/30

Calculus · series session

Differentiation: definition and basic derivative rules

The Second and Higher Order Derivatives
Implicit Differentiation

Hyemin L

0
5/30

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
2 spots left!

Calculus · series session

Differentiation: definition and basic derivative rules

Kinematics (velocity, acceleration, etc.)
Other rates of change (cost function in economics, etc.)

Hyemin L

0
5/30

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
2 spots left!

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
2 spots left!

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
2 spots left!

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
2 spots left!

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