Krista King Math
How to Use Logarithmic Differentiation to Find the Derivative
Use the natural logarithm to simplify differentiation. The 22nd resource in a series of 31 provides an example of a problem that would be best differentiated by using logarithms. The presenter takes the natural logarithm of both sides....
Krista King Math
Derivatives of Logarithms
It is only natural to take the derivative of a logarithmic function with a complex argument. The 21st installment in a series of 31 provides an example of taking the derivative of a natural logarithmic function. First simplifying the...
Krista King Math
Finding the Derivative of a Function with e^x
Go beyond the basics with exponential functions. Using a function that contains an exponential function, the video shows the steps involved in finding its derivative. The 20th installment in a series of 31 uses an example with the...
Krista King Math
Derivatives of inverse hyperbolic functions
Apply knowledge of derivatives and inverse hyperbolic functions. Using the formula for the derivative of an inverse hyperbolic function, the resource finds the derivative of a more complex function. The complex function is comprised of a...
Krista King Math
Derivatives of Inverse Trig Functions - Arcsin
Put another link in the chain. With the aid of the chain rule, the presentation shows how to take the derivative of an arcsin function with a binomial argument. The 15th video in a 31-part series goes on to work through the...
Krista King Math
Chain Rule for Derivatives, with Trig Functions
Break the chain in finding derivatives of trigonometric functions. The short video provides a demonstration of finding the derivative of a trigonometric function where the argument is a function. The 12th video in a series of 31 focuses...
Krista King Math
Reciprocal Rule
Alter the reciprocal rule to work with more functions. The eighth segment in a series of 31 introduces the reciprocal rule for finding a derivative. Using the quotient rule, the video derives the reciprocal rule and creates a rule that...
Krista King Math
Product Rule - 3+ functions
Will the product rule work for more than two functions? The sixth video in a series of 31 provides a function that is the product of three other functions. Making connections to the product rule with two functions, the presenter shows...
Krista King Math
Definition of the Derivative to Find the Derivative
Serve up the definition of the derivative two ways. Video three in a series of 31 begins with making the distinction between the difference quotient and the definition of the derivative. The presentation shows two ways the definition is...
Krista King Math
Average Rate of Change of a Function
Just how fast is the function changing? The presenter provides a general explanation of the average rate of change in the 28th presentation in a series of 31 calculus videos. The video moves on to find the average rate of change for a...
Krista King Math
Derivative of x^x
Use this trick to find the derivative of x raised to the x power. The video shows how to find a complicated derivative by rewriting the function using properties of logarithms. After rewriting the function, the derivative is simply...
Krista King Math
Implicit Differentiation Completely Explained!
Explicitly explain how to use implicit differentiation. Using a trigonometric function defined using y and x, the resource works through an example of implicit differentiation to explain the process. The 19th video in a 31-part series...
Krista King Math
Derivatives of Hyperbolic Functions
Trig provides assistance in finding the derivatives of hyperbolic functions. The presentation provides an example of finding the derivative involving hyperbolic functions. Using the chain rule, the video finds the derivative of a...
Krista King Math
Derivative of cot^4(x/2)
Apply the chain rule, the power rule, and the derivative of a trigonometric function all in one. Using a function raised to a power, the 14th video in a series of 31 shows how several rules work together to find a derivative. The...
Krista King Math
Quotient Rule
It takes a few more steps than just dividing. Given a function that is the quotient of two other functions, the resource finds the derivative. The seventh video in a series of 31 introduces the quotient rule to find derivatives. The...
Krista King Math
Power Rule for Derivatives
Find shortcuts to finding derivatives. The resource introduces the power rule for finding the derivatives of polynomial functions. The fourth video in a series of 31 starts by applying the rule to monomials and then shows how to combine...
3Blue1Brown
Essence of Calculus, Chapter 1
Dive into the essence of calculus. The first installment of an 11-part playlist introduces the video series by looking at the area of a circle and the area under curves. The narrator explains how to look at calculus as taking a hard...
Educator.com
Separation of Variables and Initial Value Problem
Ap Calculus classes learn how to solve a differential equation by getting like variables together with a video that presents an example of how to solve a differential equation by using the method of separation of variables. The...
Educator.com
Related Rates
A video tutorial examines the application of related rates to determine the rate of change of an angle at a line of sight. The instructor shows the process of solving the problem using a known rate to find the desired rate and analyzes...
Educator.com
Possible and Relative Error
Here's a video that demonstrate the meaning of possible and relative error using differentials. As the instructor works through the problem, he gives formulas for determining the different types of errors. He shows two approaches to the...
Educator.com
Relative Rates of Growth
It's all relative! A video introduces the concept that the relative rate of growth is the rate of growth relative to the dependent variable, and then compares the equation of the standard model and the relative growth version.
Educreations
Natural Log Function-Integration
One of the strongest tools in integration is u-substitution, particularly when working with natural logs. In this step-by-step video presentation, a pleasant-voiced instructor walks through a number of integration problems. She...
Khan Academy
Khan Academy: Calculus: Newton, Leibniz, and Usain Bolt
Video lesson explaining the use of differential equations by exploring the speed at which Usain Bolt runs. Explains the difference between average speed and instantaneous speed. [9:07]
Khan Academy
Khan Academy: Introduction to Differential Calculus: Newton and Usain Bolt
In this video, students learn why we study differential calculus.