Brian McLogan
Taking the derivative of exponential function with product rule
👉 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...
Brian McLogan
How to solve a logarithmic equation with extraneous solution, ln(3x-2)+ln(x-1)=2ln(x)
👉 Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the...
Brian McLogan
Use the power rule of logarithms to take the derivative of an exponential function
👉 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...
Curated Video
Writing Exponential Equations for Word Problems
Learn how to write exponential equations for word problems by analyzing the given context and identifying clues. Through examples, the teacher demonstrates the process of determining the initial amount and constant multiplier, and then...
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...
Curated Video
Writing Explicit Equations for Exponential Relationships
In this video, the teacher explains how to find the explicit equation for an exponential relationship by identifying the constant multiplier and initial value. The process involves analyzing patterns in the data and using the general...
Math Fortress
Calculus I: Derivatives of Polynomials and Natural Exponential Functions (Level 2 of 3)
This video will teach you the basics of calculating the derivative of simple polynomials and exponential functions using the constant multiple, sum and difference rule.
Brian McLogan
How to find the derivative with exponential functions base 5
👉 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...
Curated Video
Exponential Functions: Growth, Decay, and Graphing
This video provides an explanation of exponential functions, focusing on the form y = A to the power of X, where A is a constant and X is the variable. The video explains the concepts of exponential growth and decay with real-world...
Brian McLogan
Derivatives of exponential and chain rule
👉 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...
Brian McLogan
How to determine the inverse of an exponential equation
👉 Learn how to convert an exponential equation to a logarithmic equation. This is very important to learn because it not only helps us explain the definition of a logarithm but how it is related to the exponential function. Knowing how...
Brian McLogan
Solving an exponential equation with e on the denominator
👉 Learn how to solve exponential equations in base e. An exponential equation is an equation in which a variable occurs as an exponent. e is a mathematical constant approximately equal to 2.71828. e^x is a special type of exponential...
Brian McLogan
Using inverse properties to solve an exponential equation
👉 Learn how to solve exponential equations. An exponential equation is an equation in which a variable occurs as an exponent. To solve an exponential equation, we isolate the exponential part of the equation. Then we take the log of both...
Curated Video
Exponential Decay: Understanding the Formula and Solving Problems
This is a lesson on exponential decay, which is the opposite of exponential growth. The presenter explains that exponential decay occurs when the growth rate is negative and provides examples of how to calculate the values of a and b in...
Brian McLogan
Use the product rule to take the derivative of an exponential equation
👉 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...
Brian McLogan
Using half life to determine the age of a piece of coal
👉 Learn all about solving exponential equations. In this playlist, we will explore how to solve exponential equations by using a calculator as well as without. We will explore applying the one to one property and solving exponential...
Brian McLogan
Using the inverse of an exponential equation to find the logarithm
👉 Learn how to convert an exponential equation to a logarithmic equation. This is very important to learn because it not only helps us explain the definition of a logarithm but how it is related to the exponential function. Knowing how...
Brian McLogan
Learn to find the derivative of exponential with chain rule
👉 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...
Brian McLogan
Learn to take the second derivative of exponential chain rule
👉 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...
Brian McLogan
Derivative of exponential with trig functions inside chain rule
👉 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...
Curated Video
Presentations on Exponential Growth: Calculating Population Growth and the Rate of Change
This video is a lecture presentation on solving questions involving the general exponential formula, specifically in the context of population growth. The presenter goes through three separate questions, demonstrating how to use the...
Brian McLogan
Applying equality property of logarithms to solve by factoring, log4 (x^2 -4)=log4 (-x+2)
👉 Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the...
Curated Video
Introduction to Exponential Functions: Graphing and Transformations
This video covers presentations on exponential functions and explores the special exponential function of y = E to the X. The video demonstrates how to calculate gradient functions on exponential graphs and how to sketch variations of...