3Blue1Brown
What's so special about Euler's number e? Essence of Calculus - Part 5 of 11
What is the derivative of a^x? Why is e^x its own derivative? This video shows how to think about the rule for differentiating exponential functions.
3Blue1Brown
Derivatives of exponentials | Chapter 5, Essence of calculus
What is the derivative of a^x? Why is e^x its own derivative? This video shows how to think about the rule for differentiating exponential functions.
3Blue1Brown
Visualizing the chain rule and product rule: Essence of Calculus - Part 4 of 11
The product rule and chain rule in calculus can feel like they were pulled out of thin air, but is there an intuitive way to think about them?
3Blue1Brown
Taylor series: Essence of Calculus - Part 11 of 11
Taylor series are extremely useful in engineering and math, but what are they? This video shows why they're useful, and how to make sense of the formula.
3Blue1Brown
Solving the heat equation: Differential Equations - Part 3 of 5
Solving the heat equation.
3Blue1Brown
But what is a partial differential equation? | DE2
The heat equation, as an introductory PDE.
3Blue1Brown
Visualizing the chain rule and product rule | Chapter 4, Essence of calculus
The product rule and chain rule in calculus can feel like they were pulled out of thin air, but is there an intuitive way to think about them?
3Blue1Brown
The Essence of Calculus - Part 1 of 11
An overview of what calculus is all about, with an emphasis on making it seem like something students could discover for themselves. The central example is that of rediscovering the formula for a circle's area, and how this is an...
3Blue1Brown
Implicit differentiation, what's going on here? | Chapter 6, Essence of calculus
How to think about implicit differentiation in terms of functions with multiple inputs, and tiny nudges to those inputs.
3Blue1Brown
Taylor series | Chapter 10, Essence of calculus
Taylor series are extremely useful in engineering and math, but what are they? This video shows why they're useful, and how to make sense of the formula.
3Blue1Brown
Essence of calculus, chapter 1
An overview of what calculus is all about, with an emphasis on making it seem like something students could discover for themselves. The central example is that of rediscovering the formula for a circle's area, and how this is an...
3Blue1Brown
Taylor series | Essence of calculus, chapter 11
Taylor series are extremely useful in engineering and math, but what are they? This video shows why they're useful, and how to make sense of the formula.
3Blue1Brown
Integration and the fundamental theorem of calculus: Essence of Calculus - Part 8 of 11
What is integration? Why is it computed as the opposite of differentiation? What is the fundamental theorem of calculus?
3Blue1Brown
Higher order derivatives | Footnote, Essence of calculus
What is the second derivative? Third derivative? How do you think about these?
3Blue1Brown
Derivative formulas through geometry | Chapter 3, Essence of calculus
Introduction to the derivatives of polynomial terms and trigonometric functions thought about geometrically and intuitively. The goal is for these formulas to feel like something the student could have discovered, rather than something...
3Blue1Brown
Higher order derivatives: Essence of Calculus - Part 10 of 11
What is the second derivative? Third derivative? How do you think about these?
3Blue1Brown
Higher order derivatives | Essence of calculus, chapter 10
What is the second derivative? Third derivative? How do you think about these?
Crash Course
Derivatives: Crash Course Physics
CALCULUS! Today we take our first steps into the language of Physics; mathematics. Every branch of science has its own way to describe the things that it investigates. And, with Physics, that's math. In this episode, Shini talks us...
3Blue1Brown
Derivative formulas through geometry: Essence of Calculus - Part 3 of 11
Introduction to the derivatives of polynomial terms and trigonometric functions thought about geometrically and intuitively. The goal is for these formulas to feel like something the student could have discovered, rather than something...
3Blue1Brown
Limits, L'Hopital's rule, and epsilon delta definitions: Essence of Calculus - Part 7 of 11
What are limits? How are they defined? How are they used to define the derivative? What is L'Hospital's rule?
Crash Course
Integrals: Crash Course Physics
Continuing with last week's introduction of calculus, Shini leads us through the ways that integrals can help us figure out things like distance when we have several other key bits of information. Say, for instance, you wanted to know...
3Blue1Brown
Implicit differentiation, what's going on here? Essence of Calculus - Part 6 of 11
How to think about implicit differentiation in terms of functions with multiple inputs, and tiny nudges to those inputs.
3Blue1Brown
But what is a partial differential equation? Differential Equations - Part 2 of 5
The heat equation, as an introductory PDE.