3Blue1Brown
Derivative formulas through geometry | Essence of calculus, chapter 3
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
Newton's Fractal (which Newton knew nothing about)
Newton's method, and the fractals the ensue
3Blue1Brown
The Brachistochrone, with Steven Strogatz: Brachistochrone - Part 1 of 2
A classic problem that Johann Bernoulli posed to famous mathematicians of his time, such as Newton, and how Bernoulli found an incredibly clever solution using properties of light.
3Blue1Brown
The paradox of the derivative | Essence of calculus, chapter 2
An introduction to what a derivative is, and how it formalizes an otherwise paradoxical idea.
3Blue1Brown
The Brachistochrone, with Steven Strogatz
A classic problem that Johann Bernoulli posed to famous mathematicians of his time, such as Newton, and how Bernoulli found an incredibly clever solution using properties of light.
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
The paradox of the derivative: Essence of Calculus - Part 2 of 11
An introduction to what a derivative is, and how it formalizes an otherwise paradoxical idea.
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
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...
Bozeman Science
Position vs. Time Graph - Part 2
Mr. Andersen shows you how to read a position vs. time graph to determine the velocity of an object. Objects that are accelerating are covered in this podcast. He also introduces the tangent line (or the magic pen).
3Blue1Brown
Implicit differentiation, what's going on here? | Essence of calculus, chapter 6
How to think about implicit differentiation in terms of functions with multiple inputs, and tiny nudges to those inputs.
3Blue1Brown
The paradox of the derivative | Chapter 2, Essence of calculus
An introduction to what a derivative is, and how it formalizes an otherwise paradoxical idea.
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.
Flipping Physics
Derivative Introduction
The derivative is introduced and several examples are worked through. The difference between average and instantaneous velocity is demonstrated on a graph. The derivative of a power function rule is worked through. Again, graphs are used...
Math Fortress
Calculus I: The Product Rule (Level 3 of 3)
This video continues going over how to find the derivative of functions formed by products of functions by using the product rule. This videos goes over 2 examples illustrating how to find the derivative of functions by using the graphs...
Brian McLogan
Write the equation of a line tangent to a polynomial through a point
👉 Learn how to find and write the equation of the tangent line of a curve at a given point. The tangent of a curve at a point is a line that touches the circumference of the curve at that point. To find the equation of the tangent line...
Math Fortress
Calculus III: The Dot Product (Level 7 of 12)
This video goes over the dot product also known as the scalar product. This video goes over 3 challenging examples that require the use of dot product.
Brian McLogan
How to find the radius when the area and circumference are changing at the same rate
👉 Learn how to take the derivative of a function. Learn how to find the derivative of a function using the chain rule. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the...
Brian McLogan
Write the equation of the tangent line with the quotient rule at a point
👉 Learn how to find and write the equation of the tangent line of a curve at a given point. The tangent of a curve at a point is a line that touches the circumference of the curve at that point. To find the equation of the tangent line...
Catalyst University
Phase Diagrams | The Clausius-Clapeyron Equation [Derivation Pt. II]
In this video, I use the previously derived Clapeyron equation (previous video [link below]) to derive the Clausius-Clapeyron Equation.
Brian McLogan
Learn how to write the equation of a tangent line through a point of a function
👉 Learn how to find and write the equation of the tangent line of a curve at a given point. The tangent of a curve at a point is a line that touches the circumference of the curve at that point. To find the equation of the tangent line...
Math Fortress
Calculus I: The Quotient Rule (Level 3 of 3)
This is the third and final video on the quotient rule. This video goes over 4 examples illustrating how to find the derivative of a function by using a set of values and by using the graphs of functions.
Brian McLogan
Write the equation of a tangent line of a natural logarithmic equation at a value
👉 Learn how to find and write the equation of the tangent line of a curve at a given point. The tangent of a curve at a point is a line that touches the circumference of the curve at that point. To find the equation of the tangent line...
Brian McLogan
Write the equation of the tangent line with exponential
👉 Learn how to find and write the equation of the tangent line of a curve at a given point. The tangent of a curve at a point is a line that touches the circumference of the curve at that point. To find the equation of the tangent line...