The chain rule is a rule in calculus used to compute thederivativeof a composite function, which is a function made up of other functions. Simple Example of the Chain Rule: Imagine you have two functions: f(x)=x(squared) (a function that squares its input) g(x)=2x+3 (a function th...
Definition/Summary The chain rule is an elementary rule of calculus, but it can be understood without any knowledge of calculus: If a depends on b...
What is the Whitman 8.7.18 chain rule? The Whitman 8.7.18 chain rule is a mathematical concept used in calculus to find the derivative of a composite function. It is named after mathematician George Whitman, who first introduced it in 1878. How does the Whitman 8.7.18 chain rule work?
Calculus is broadly classified into two different sections:Differential Calculus Integral CalculusBoth differential calculus and integral calculus serve as a foundation for the higher branch of Mathematics known as “Analysis”, dealing with the impact of a slight change in the dependent variable, as ...
In calculus, the u-substitution method is also called the change of variable method. This is the reverse phenomenon of the chain rule. It is used to find out the integrals and antiderivatives as well. For example: {eq}\begin{align*} \int {f\left( {g(x)}...
The antiderivative rules in calculus are basic rules that are used to find the antiderivatives of different combinations of functions.
Simpson's Rule | Examples, Method, & Formula from Chapter 15 / Lesson 4 159K What is Simpson’s Rule? In this lesson, learn about Simpson’s third rule and Simpson’s 3/8 rule. Moreover, see examples of Simpson’s rule calculus in use with n = 2 and n = 4 for quadratics....
In calculus, aderivativemeasures how a function changes as its input changes. It tells you therate of changeor theslopeof the function at any given point. If you imagine a graph of a function (e.g., a line or a curve), the derivative at any point tells you the steepness of the g...
Construction of Antiderivatives The Area Problem More Applications of Definite Integrals Properties of Definite Integrals The Fundamental Theorem of Calculus Existence of Definite Integrals Reversing the Chain Rule: Substitution Reversing the Product Rule: Integration by Parts Higher Order Approximations, Part...
Add your answer: Earn +20 pts Q: What is a x a x a simplified? Write your answer... Submit Still have questions? Find more answers Ask your question Continue Learning about Calculus How do you solve x x x 2x 9? you can't because it is not an equation but you can simplify it....