Differentiation of a maximum function under connected constraints is considered. Expressions are obtained for the directional derivatives.O.F.BorisenkoandL.I.MinchenkoSDOSUSSR Computational Mathematics and Mathematical PhysicsL. I. Minchenko and O. F. Borisenko, “On directional differentiability of the ...
The idea behind differentiability of a function of two variables is connected to the idea of smoothness at that point. In this case, a surface is considered to be smooth at point PP if a tangent plane to the surface exists at that point. If a function is differentiable at a point, then...
Fortunately, for a function of a single variable that is simply "has a derivative there" (for functions of more than one variable it is more complicated). So what is the definition of "the derivative of f(x) at x= a"? (You are completely wrong when you say the function is not ...
Learn about differentiability. Understand how to tell if a function is differentiable and when it isn't and see a comparison of differentiable vs...
I know I would take a sequence of rationals and a sequence of irrationals, but would I say consider xn∈Q and yn∈R∖Q such that as n→∞, xn→x and yn→x? I'm only guessing considering the function, since we'll have x2≠x4 for x∉{0,±1} Yes, this is the right ...
Let us consider a function with two variables {eq}z=f(x,y) {/eq}. Then, the function is said to be differentiable at a point {eq}P_0(x_0,y_0) {/eq} if the directional derivative of the function at {eq}P_0 {/eq} exists in the direction of any unit vector {...
Check the differentiability of {eq}\mod x {/eq}, at {eq}x=0 {/eq}.Differentiability At A Point:A function {eq}f(x) {/eq} is said to be differentiable at some point {eq}x=c {/eq} if the Left-hand derivative and the Right-hand derivative at that point are equal i.e {eq}...
View Solution Discuss the differentiability of functionf(x)=x−∣∣x−x2∣∣ View Solution Letf(x)=|x−1|+|x+1|Discuss the continuity and differentiability of the function. View Solution Discuss the continuity and differentiability off(x)=|x+1|+|x|+|x−1|∀x∈R;also draw the...
This paper presents a definition of consensus function to measure the similarity of consensus between decision makers by the concepts and properties of triangular fuzzy number, and constructs a group consensus indicator by the consensus function. 运用三角模糊数的概念和性质,提出了衡量决策者之间意见相似...
1) the differentiability of function of functions 复合函数可微性2) differentiability of convex functions 凸函数可微性 1. The geometric properties of vector sequence spaces with variable basic sequence of subspaces, including H-property, convexity, Radon-Nikodym property and differentiability of convex ...