WebQuestion: Determine if the piecewise-defined function is differentiable at the origin. x+ tan x, x20 f(x) 6x2 Select the correct choice below and, if necessary, fill in the answer boxes in your choice. A. The function is differentiable at the origin because it is continuous at x=0 and 0+h)- f(0 + h)-f(0) lim (Type integers or simplified fractions.) WebThe function is differentiable at x = 0 because it is continuous at x = 0 and h→0−lim hf (0+h)−f (0) = and h→0+lim hf (0+h)−f (0) = (Type integers or simplified fractions.) B. The function is not differentiable at x = 0 because it is continuous at x = 0 and h→0−lim hf (0+h)−f (0) = h→0+lim hf (0+ h)−f (0) = (Type integers or simplified fractions.)
Differentiability of a Function Class 12 Maths ...
WebDetermine if the following statements are true or false. (a) If a function is differentiable, then it is continuous. ---Select--- (b) If a function is continuous, then it is differentiable. ---Select--- This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. See Answer WebQuestion 1 : Determine whether the following function is differentiable at the indicated values. (i) f (x) = x x at x = 0 Solution : f (x) = x x If x < 0, then f (x) = x (-x) = -x2 If x … how is the bradford score calculated
Differentiability of Functions of Two Variables - Ximera
WebInformally, Rolle’s theorem states that if the outputs of a differentiable function f f are equal at the endpoints of an interval, then there must be an interior point c c where f ′ (c) = 0. f ′ (c) = 0. Figure 4.21 illustrates this theorem. WebDetermine if the following piecewise defined function is differentiable at x0. 3x-2 x20 f (x) +2x-2 What is the right-hand derivative of the given function? f (0+h)-f (0) lim (Type an integer or a simplified fraction.) h o This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. WebFeb 22, 2024 · Well, the easiest way to determine differentiability is to look at the graph of the function and check to see that it doesn’t contain any of the “problems” that cause … how is the book of psalms organized