Calculus is a branch of mathematics that deals with differentiation and integrations. Learn Calculus formulas and the important topics covered in calculus using solved examples.
Log In Sign Up Subjects Math Pre-Calculus Mathematical functions What is a well-defined function?Question:What is a well-defined function?FunctionFunction is a kind of law that defines the relationship between two variables. A function g from a set X to a set Y can be considered as a...
It arises by abstracting the chemical reaction equilibrium problem (CREP) in the single-reaction case to the general problem of minimizing a differentiable function \\(f(x;\\{p_j\\})\\), where x is the single independent variable and \\(\\{p_j\\}\\) is a set of parameters. The ...
The derivative in calculus is the rate of change of a function. In this lesson, explore this definition in greater depth and learn how to write derivatives. Related to this QuestionSuppose f^{-1} is the inverse function of a differentiable functi...
Math Cracks – What is a Derivative, Really? It seemed important to me to go over the concept of derivative of a function. The process of differentiation (this is, calculating derivatives) is one of the most fundamental operations in Calculus and even in math. In this Math Crack tutorial ...
How to Calculate a the Derivative of a Function What Is a Derivative? In calculus, a derivative is the rate of change at a given point in a real-valued function. For example, the derivative f'(x) of function f() for variable x is the rate that the function f() changes at the poi...
Explanation: The linearization of a differentiable function f at a point x=a is thelinear function L(x)=f(a)+f'(a)(x−a), whose graph is the tangent line to the graph of f at the point (a,f(a)) . When x≈a , we get the approximation f(x)≈L(x) . ...
in analysis, special case of the mean-value theorem of differential calculus. Rolle's theorem states thatif a function f is continuous on the closed interval [a, b] and differentiable on the open interval (a, b) such that f(a) = f(b), then f′(x) = 0 for some x with a ≤ ...
Ask a question Search AnswersLearn more about this topic: Finding Derivatives of a Function | Overview & Calculations from Chapter 20 / Lesson 1 118K Understand what derivative calculus is and how to find the derivative of...
Regions of Continuity in a Function from Chapter 2 / Lesson 3 28K A region of continuity is where you have a function that is continuous and is a critical understanding in calculus and mathematics. Learn more about regions of continuity as a function and read examples. R...