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
Chain Rule for Derivatives, with Quotient Rule
Work on the chain gang. The 11th installment in a series of 31 demonstrates how the chain rule and the quotient rule work together to find a derivative. Using a trigonometric function of a quotient involving exponentials as an example,...
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...
Krista King Math
Derivatives
Instantly find the rate of change at a point. The video presents an example illustrating how to find the rate of change at a point on a function. Using graphs, the presenter illustrates the method of approximating the slope of the...
Krista King Math
Greatest Common Factor, Monomials
Model how to find the greatest common factor of monomial expressions with a video that works through three examples. The first is a constant, the second a single variable expression, and the third is a multivariable example.
Krista King Math
Substitution to Solve a System of Two Equations
Apply different algebraic concepts to solve a system of equations using substitution. The video tutorial explains each step of the process. The instructor then shows how to check the solution to ensure it is the proper answer.
Krista King Math
Multiplication of Rational Expressions
Cancel that! Young mathematicians see how factoring and canceling can be very beneficial. The presenter works through examples of multiplying two rational expressions where the factors are simplified first. Factoring complex rational...
Krista King Math
How to use the Intermediate Value Theorem
Develop an expert (not intermediate) understanding of the Intermediate Value Theorem with a video that teaches young mathematicians about the Intermediate Value Theorem. It introduces the idea of proving that a root exists in an...
Krista King Math
How to Make a Function Continuous (for a piecewise function)
Now do you see how limits relate to continuity? Viewers of this learn to find the value of a constant for a piecewise function that makes it continuous. They see how one-sided limits show that the derived constant is correct.
Krista King Math
The Precise Definition of the Limit Explained!
It's all Greek to me. Young mathematicians learn how to use the epsilon-delta definition of a limit with a video that shows how to find the relationship between epsilon and delta for a given limit equation.
Krista King Math
Limits of Trig Functions: Everything You Need to Know!
Discover how to find limits of trigonometric functions. Viewers learn a strategy to calculate limits of trigonometric functions. They see how an expression can be rewritten to one whose limits are already known.
Krista King Math
Limits at Infinity
Learn how to apply L'Hôpital's Rule. Scholars see how properties of limits and L'Hôpital's Rule help determine limits at infinity. They watch the derivation of the limit for one example function.
Krista King Math
How to Find Limits on Crazy Graphs
Discover how to find limits using graphs. Viewers learn how to determine limits of a piecewise function at specific points by analyzing a graph. They consider both one-sided and two-sided limits.
Krista King Math
Solving Limits with Substitution
Discover the simplest way to evaluate the limit of a function with an educational video. Viewers learn how to determine the limit of a function at a point through substitution. If only all limits were this easy!
Krista King Math
Multiplying Radicals
Multiply your knowledge of radicals. A video teaches scholars how to simplify expressions involving the multiplication of radicals. It also covers simplifying radicals and combining radicals when simplification is necessary to make like...
Krista King Math
Zero as an Exponent
Is a zero exponent the same as having no exponent? Viewers learn how to deal with zero exponents by watching a video. They also watch a brief justification for why x^0 = 1.
Krista King Math
Exponents of Negative Bases
How do you deal with a negative base? In the video, viewers learn how to simplify exponential expressions with negative bases. The video also shows how to distinguish between –a^b and (–a)^b.
Krista King Math
Quotient Rule for Exponents
Introduce the Quotient Rule for exponents with a video that models how to divide powers. The instructor works through five examples with variable bases to cover the concept.
Krista King Math
Zero Theorem
Develop a strategy for solving quadratic equations. Pupils learn to factor quadratic equations and then apply the Zero Theorem. The instructor explains the Zero Theorem in detail.
Krista King Math
Factoring the Difference of Squares
Explore a special pattern in factoring quadratics. The video instructor shows many examples of factoring binomials that are the difference of squares. The examples vary from single to multiple variables and multiple coefficients.
Krista King Math
Factoring Quadratic Equations with Coefficients
Explore the puzzle of factoring quadratic trinomials using the video lesson. The instructor demonstrates the trial and error process of finding the binomial factors. She shows how to check the factors using multiplication.
Krista King Math
Greatest Common Factor, Polynomials
Examine the process of factoring a greatest common factor from a multivariable polynomial. Here, a video tutorial shows four examples, each increasing in difficulty. The final example has coefficients and several variables.