Euler's formula, e^{pi i} = -1, is one of the most famous expressions in math, but why on earth is this true? A few perspectives from the field of group theory can make this formula a bit more intuitive.

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.

Euler's formula, e^{pi i} = -1, is one of the most famous expressions in math, but why on earth is this true? A few perspectives from the field of group theory can make this formula a bit more intuitive.

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.

In this shorts math video we will review how to write an exponential function to answer a standardized math test question. We will identify the key information provided in the problem - initial amount, rate of increase or decrease, and...

In this short math video we will be comparing linear, exponential & quadratic functions. We will be asked to correctly complete two statements about the three graphed functions on a coordinate plane. We will first be asked which of the...

In this math video, we’ll explore how to determine if a table represents an exponential function using a real-world bacteria growth scenario.
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We start with a culture that begins with 1,000 bacteria, and each hour, the...

In this high school algebra math video we will be interpreting an exponential model or a real world problem.
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A t-shirt company purchases a new packaging & tracking system — and we are given an equation that models...

In this Algebra 1 video, students quickly analyze a table of values and four possible functions to determine which function best represents the data. We begin by noticing the domain increases by 1 each time, but the range does not have a...

In this video, we’ll explore a real-world exponential growth function that models the changing value of a rare painting purchased by an art museum. 🖼️
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We’re given a function that represents the projected value of the...

This video will review how to interpret the different features of linear, quadratic, and exponential functions.

In this video lesson, the teacher explains scatter plots and how they are used to show the relationship between two sets of data. They cover different types of relationships, including linear and nonlinear, and how to interpret the data...

Solutions to Problem 17.

This video explains the concept of geometric sequences and their relationship to exponential functions. It covers the explicit rule for geometric sequences, how to find specific terms in the sequence, and how to graph the sequence on a...

In this lesson, students will learn how to describe the end behavior of polynomial and exponential functions. They will understand that for polynomial functions, the end behavior is determined by the leading term, while for exponential...

This video explains how to distinguish between linear and exponential functions by examining function tables. Learn how to identify the patterns in the output values and explain the difference between equal differences in linear...

👉 Learn how to find the derivative of exponential and logarithmic expressions. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the...

Enzyme Kinetics (Reaction Velocities)

Catalyst University Math: Proof of the Derivative of Ln(x) (From Definition)

Particle-on-a-Ring Example #1: Calculate Electron Probability

👉 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...

In this video, the teacher explains the difference between linear and exponential functions using examples and graphs. They demonstrate how to identify equal differences in a linear function and equal factors in an exponential function....

Calculating Keq from Free Energy