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.

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.

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.

How to think about implicit differentiation in terms of functions with multiple inputs, and tiny nudges to those inputs.

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.

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.

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.

Using the harmonic series we can build an infinitely long bridge. It takes a very long time though. A faster method was discovered in 2009.

In this video Paul Andersen explains how the reaction path can be described in an energy profile. Enough energy must be added to reach the activation energy required and stress the bonds. Eventually the bonds break and new bonds are...

How to think about implicit differentiation in terms of functions with multiple inputs, and tiny nudges to those inputs.

Paul Andersen explains how the rate law can be used to determined the speed of a reaction over time. Zeroth-order, first-order and second-order reactions are described as well as the overall rate law of a reaction. The rate of a...

How to think about implicit differentiation in terms of functions with multiple inputs, and tiny nudges to those inputs.

In this video, we’re exploring the link between information and entropy, by examining a famous thought experiments by James Clerk Maxwell, called Maxwell's demon, which seems to show that entropy can be reversed. In...

In this video, we solve three questions (in order of ascending difficulty) where we solve exponential equations by using logarithms.

In this video, we solve more exponential and logarithmic equations.

In this video, we work examples of exponential growth and decay regarding colonies of bacteria and radioactive decay. We will find the "k" value, and solve for it using logarithms. These exponential word problems are very similar to...

In this video, we do an example of radioactive decay. How do you solve for k? This video shows how to use logarithms (and natural logarithms) to solve for the k or t value. From there, you can use your function to solve word problems.

This video solve word problems with exponential growth (continuous compounding) in finance. We solve problems where we see how long a value takes to double, quadruple, or reach a specified amount.

Welcome to our comprehensive series of Advanced High School Mathematics Tutorials! This series is perfect for students, teachers, and anyone looking to deepen their understanding of higher-level mathematics. Each video breaks down...

Explore the dynamics of RC circuits in this informative lesson. Unveil the charge and current as functions of time within an RC circuit. We dive into the Kirchhoff’s Loop Rule and differential equations to derive key insights. Witness...

Today, we're diving deep into LR circuits, deriving equations for current and its time rate of change. Closing the switch at t equals zero, we employ Kirchhoff’s Loop Rule, employing u-substitution for a smoother journey. Through...

Integrated equation of Arrhenius Equation, graphical interpretation.<b<br/>r/>

Arrhenius Equation - Activation Energy & Temperature part 2

First Order Reaction, integrated expression.<b<br/>r/>

First Order Reactions part 1

This video discusses logarithmic functions. It will show how to change the bases of logarithms and explain the properties of logarithms.