Brian McLogan
U substitution with a radical
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite...
Brian McLogan
Taking derivative by applying product rule of two polynomials
👉 Learn how to find the derivative of a function using the product 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
Learn how to determine if a piecewise function is continuous and 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 use the chain rule with a square root
👉 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...
Catalyst University
JUST "THE WHY": Introduction to Limits (Why Use Them?)
JUST "THE WHY": Introduction to Limits (Why Use Them?)
Flipping Physics
The Derivative and a Demonstration of Position, Velocity and Acceleration
Using the derivative, a position equation is used to determine velocity and acceleration. The motion is demonstrated. Motion graphs are shown and illustrated. The maximum position of the cart is determined.
Brian McLogan
How to take the derivative of logarithm base 4
👉 Learn how to find the derivative of exponential and logarithmic expressions. 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
How to use implicit differentiation with trig
👉 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...
Math Fortress
Differential Equations: Solutions (Level 3 of 4)
This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over 3 slightly more challenging examples illustrating how to verify solutions to differential equations. In addition...
Flipping Physics
Using the R Position Vector to find Velocity and Acceleration
Unit vectors and the derivative are used to determine the velocity and acceleration of an object from the object’s r position vector. The motion is identified as Uniformly Accelerated Motion.
Brian McLogan
Evaluate the derivative using the definition of derivative limit notation
👉 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...
Brian McLogan
Chain rule with radicals, how to take the derivative
👉 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...
Brian McLogan
Learn to find the derivative of a function with cosine
👉 Learn how to find the derivative of trigonometric functions. 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...
Brian McLogan
How to take the derivative of the inverse of a function
👉 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...
Brian McLogan
Apply the product rule of taking the derivative with sine
👉 Learn how to find the derivative of a function using the product 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
Use the quotient rule of derivatives given a table
👉 Learn how to find derivative using a given table of values. 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...
Brian McLogan
Take the derivative of inverse sine with chain rule
👉 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...
APMonitor
Chemical Reaction Differential Equations in Python
Concentrations on chemical species from mole balances are solved for 1, 2, and 4 species in Python with the Scipy.Integrate package ODEINT.
Brian McLogan
How to use the chain rule with trigonometric functions
👉 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...
Brian McLogan
How to determine if a function is increasing and at increasing rate using a table
👉 Learn how to determine whether a function is increasing or decreasing from the function's table of values. Given a table of value of a function, we determine whether the function is increasing or decreasing by obtaining the difference...
Brian McLogan
How to use the product rule then chain rule with secant
👉 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...
Brian McLogan
How to take the derivative of arctan with product rule and chain
👉 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...
Brian McLogan
How to find the derivative of exponential and chain rule base 3
👉 Learn how to find the derivative of exponential and logarithmic expressions. 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
Evaluate the integral with e as the lower bound
👉 Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of...