Math Fortress
Calculus I: The Product Rule (Level 1 of 3)
This video will teach you how to find the derivative of functions formed by products of functions by using the product rule. An example involving the product of three functions is also illustrated.
Brian McLogan
Particular solution of differential equations
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution...
Brian McLogan
Finding the derative of a function using the power rule
👉 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...
Math Fortress
Differential Equations: Families of Solutions (Level 2 of 4)
This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over 3 examples illustrating how to verify general solutions of ordinary differential equations.
Brian McLogan
First derivative test relative extrema and increasing decreasing intervals
👉 Learn how to find the extreme values of a function using the first derivative test. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A method that can be...
Math Fortress
Calculus II: Integration By Parts (Level 6 of 6)
This video goes over two examples, covering the proper way to find definite integrals that require the use of multiple integration techniques. Specifically, integration by parts and u-substitution.
Brian McLogan
Find the values a and b that make the function differentiable
👉 Learn how to determine the differentiability of a function. A function is said to be differentiable if the derivative exists at each point in its domain. To check the differentiability of a function, we first check that the function is...
Brian McLogan
How to find the radius when the area and circumference are changing at the same rate
👉 Learn how to take the derivative of a function. Learn how to find the derivative of a function using the chain 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...
Brian McLogan
Determine the intervals a function is increasing and decreasing and extrema using
👉 Learn how to find the extreme values of a function using the first derivative test. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A method that can be...
Brian McLogan
How to solve a changing area of circle with related rates
👉 Learn how to take the derivative of a function. Learn how to find the derivative of a function using the chain 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...
Brian McLogan
How to write the equation of the tangent line with implicit differentiation
👉 Learn how to find the derivative of an implicit 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...
Professor Dave Explains
Position and Momentum Operators in Quantum Mechanics
We've learned a bit about quantum mechanics from a strictly conceptual and qualitative standpoint. But now it's time to dig a little deeper. Quantum mechanics is mathematics, so if we want to understand it on a fundamental level, we have...
Brian McLogan
How to determine the derivative of rational expression using power rule
👉 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...
Flipping Physics
Deriving the Work-Energy Theorem using Calculus
Use the integral and derivative to derive the Work-Energy Theorem or what I prefer to call the Net Work-Kinetic Energy Theorem.
Brian McLogan
Solve related rates two cars traveling
👉 Learn how to take the derivative of a function. Learn how to find the derivative of a function using the chain 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...
Flipping Physics
AP Physics C: Rotational Dynamics Review - 1 of 2 (Mechanics)
Calculus based review of moment of inertia for a system of particles and a rigid object with shape, the derivation of rotational kinetic energy, derivations of the following moments of inertia: Uniform Thin Hoop about is Cylindrical...
Zach Star
Dear Calculus 2 Students, This is why you're learning Taylor Series
Dear Calculus 2 Students, This is why you're learning Taylor Series
Math Fortress
Calculus II : Integration By Parts (Level 5 of 6)
This video goes over three examples| covering the proper way to find definite integrals that require the application of the integration by parts formula. An example covering the tabular method is also presented.
Brian McLogan
Learn how to expand a binomial to determine the derivative
👉 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...
Brian McLogan
Using critical values and endpoints to determine the extrema of a polynomial
👉 Learn how to find the extreme values of a function using the extreme value theorem. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A theorem which...
Brian McLogan
Find the particular solution given the conditions and second derivative
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution...
Brian McLogan
Use the quotient rule to take the derivative
👉 Learn how to find the derivative of a function using the quotient 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...
Brian McLogan
Solve with changing area using related rates
👉 Learn how to take the derivative of a function. Learn how to find the derivative of a function using the chain 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...
Brian McLogan
Ap calculus exam question product and chain rule common denominators
👉 Learn how to find the derivative of a function using the chain 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...