Krista King Math
Where Is the Function Increasing and Decreasing?!
Increase understanding of increasing and decreasing behavior. Viewers of an instructional video learn how to identify intervals where a function is increasing and decreasing using critical points and the first derivative test. They watch...
Krista King Math
Estimate the Root with Linear Approximation
Root for those learning about roots. An installment of an extensive playlist covering derivatives focuses on using linear approximations to estimate roots. The example problem shows how to find the fourth root of 15 without a calculator.
Domain of Science
Calculus, What Is It Good For?
Explore the meaning of differentiation and integration. A video lesson describes in detail what differentiating and integrating an equation means using the momentum and kinetic energy formulas. Progressing from a linear to a quadratic...
Krista King Math
Equation of the Normal Line at a Point
Is it normal to find a perpendicular line to the tangent line? The short video provides a problem to find the equation of the normal line to a function. Beginning with an explanation of the normal line, the 27th installment in a 31-part...
Krista King Math
Differentiability and Horizontal and Vertical Tangent Lines
Use slope to find the location of horizontal and vertical tangent lines. Using the derivative of a radical function, the presenter finds the points where the derivative is zero or undefined on a given interval. The 26th in a series of 31...
Krista King Math
Value that Makes Two Tangent Lines Parallel
Perform parallel calculations to find equal slopes. Using the formula for the equation of the tangent line to a point, the resource sets out to find two points with a difference of one that have parallel tangent lines.The 25th video in a...
Krista King Math
Product Rule for Derivatives
Find the derivative of a complex function involving two factors. The video presents a function involving the product of two complex binomials. Using the product rule, the presenter highlights the two factors and their representations...
Krista King Math
Equation of the Tangent Line
Given a function and a point on the function, the video shows how to determine the equation of the tangent line at that point. Using the function equation, the presenter determines the y-coordinate for the point. The 24th video in a...
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 - Arccot
Get two functions for the cost of one. The short video is the 16th in a series of 31 video on calculus topics. The presenter works through finding the derivative of a function involving two arccot functions. One of the functions requires...
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
Derivatives of Trig Functions
What are the most important things about trigonometric derivatives? The 13th video in a series of 31 highlights three important aspects of trigonometric derivatives, the first being the derivatives of sine and cosine. The second is 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
Chain Rule for Derivatives, with Product Rule
Unchain the product rule. The 10th video in a series of 31 provides an example of the chain rule in conjunction with the product rule. Using a binomial and a trinomial raised to powers as factors, the presenter works through the process...
Krista King Math
Chain Rule Combined with Power Rule
How does the chain rule work with the power rule? Using a radical function, the video shows how the chain rule works along with the power rule. The resource continues to simplify the derivative and places it in a familiar form. The...
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
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...