Calculus Definition:Calculus in mathematics is generally used in mathematical models to obtain optimal solutions and thus helps in understanding the changes between the values related by a function. Calculus is broadly classified into two different sections: Differential Calculus Integral Calculus Both diffe...
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...
The following derivative formula is known as the constant multiple rule. It is used while differentiating a function (exponential, trigonometric, logarithmic, etc.) that has a constant. ddxaf(x)=addxf(x) Here, a is a constant value, and f(x) is a differentiable function....
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...
Rolle's theorem, in analysis, special case of the mean-value theorem of differential calculus. Rolle's theorem states that if 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 so...
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) . ...
Vocabulary terms in mathematics can be tricky. The terms and words used in mathematics can sometimes have a different meaning than those same terms and words in everyday language, but they can also sometimes mean the same thing. Thus, being familiar with vocabulary in math is just as important...
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...
Well, for funsies, I know of three ways that "infinitessimals" can be made rigorous. One is algebraically; something with a power equal to zero. I...
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 ...