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

This video explains how to apply negative exponents by exploring patterns and connecting them to existing rules. The students learn that negative exponents can be undone by dividing or multiplying by the reciprocal. They also discover...

This video explains the proper signs of trigonometric functions by determining the signs of x and y in all four quadrants. It also introduces the concept of reciprocal trig functions and emphasizes the importance of understanding the...

In this video series I show you how to evaluate the six trigonometric functions when given a point. We do this by creating a right triangle and finding the hypotenuse by using the Pythagorean theorem. #trigonometry...

👉 Learn how to graph the reciprocal function. A reciprocal function is a rational function whose expression of the variable is in the denominator. A reciprocal function is of the form f(x) = a / (x + h) + k, where h is the vertical...

👉 Learn how to add and subtract fractions whose denominators are not the same. Recall that when we want to add or subtract fractions having the same denominator, we add the numerators and retain the (common) denominator. This is...

In this video lesson, students learn how to divide mixed numbers by fractions by multiplying by the reciprocal. The teacher explains the concept using real-life examples and models, demonstrating different strategies for solving division...

In this video, students learn how to determine the units for their answers when using formulas. The teacher explains the importance of including units in calculations and highlights common mistakes. Through examples involving volume,...

In this lesson, students will learn how to divide whole numbers by fractions by multiplying by the reciprocal. They will understand the concept through models and examples, and also learn how to use multiplication to solve fraction...

👉 Learn how to evaluate the six trigonometric functions of a given angle. When given an angle we locate the angle on the unit circle. Then using the coordinate of the terminal side of the angle on the unit circle and the definitions of...

👉 Learn all about evaluating trigonometric functions with triangles. In this playlist, we will learn how to evaluate, sine, cosine, tangent, cotangent, secant, and cosecant when given the sides of a triangle. If we have missing sides we...

👉 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...

👉 Learn how to evaluate the inverse of reciprocal trigonometric functions. Recall that the reciprocal trigonometric functions are given by the ratio of 1 and the corresponding trigonometric function. When an angle is unknown but the...

👉 Learn how to evaluate the six trigonometric functions given some constraints. When given the value of one trigonometric function, we can use a right triangle with one of its legs on the x-axis and the other leg, perpendicular to the...

👉 Learn how to find the derivative of a function using the power rule. 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 derivative...

👉 Learn how to find the derivative of the inverse of a function. 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 derivative of a...

👉 Learn how to evaluate the six trigonometric functions given some constraints. When given the value of one trigonometric function, we can use a right triangle with one of its legs on the x-axis and the other leg, perpendicular to the...

👉 Learn how to evaluate the six trigonometric functions given a right triangle. A right triangle is a triangle with 90 degrees as one of its angles. A right triangle is made up of two legs, which formed the sides of the 90 degrees angle...

👉 Learn how to evaluate the limit of a function using the difference quotient formula. The difference quotient is a measure of the average rate of change of the function over an interval, h. The limit of the difference quotient gives the...

👉 Learn how to evaluate the secant of the sum or difference of two angles using the sum/difference formulas. To do this, we first use the Pythagoras theorem to obtain all the sides of the right triangle in the unit circle. Recall that...

The video is a presentation on parallel and perpendicular lines. The speaker explains the key concepts of parallel and perpendicular lines, including their definition, equation, and properties. They also offer examples of how to...

👉 Learn how to evaluate the six trigonometric functions given some constraints. When given the value of one trigonometric function, we can use a right triangle with one of its legs on the x-axis and the other leg, perpendicular to the...

In this video, you will learn how to find the multiplicative inverse of a number and use it to write equivalent expressions. The multiplicative inverse, also known as the reciprocal, is the number that, when multiplied by the original...

This video is a review of basic arithmetic for the purpose of solving problems on the quantitative reasoning section of the GRE revised General Test. This video covers the basics of fractions. Topic covered: division of fractions,...