WebApr 7, 2024 · Views: 5,883. (7) 00001(44/−1 Let f (x) ={x2sin(x1),0,x =0x =0 Then at x=0 (A) f is continuous but f ′ is not continuous (B) f and f ′ both are continuous C f is continuous but not differentiable (D) f ′ is continuous but not differentiable. Topic: Limit, Continuity and Differentiability. View solution. Question 2. WebApr 4, 2024 · The relationship between continuity and differentiability is that if a function is differentiable at a point, it is necessarily continuous. But, the converse may not be …

Continuity And Differentiability Class 12 Maths Ex- 5.1(Q 11 to 18 ...

WebApr 7, 2024 · Views: 5,883. (7) 00001(44/−1 Let f (x) ={x2sin(x1),0,x =0x =0 Then at x=0 (A) f is continuous but f ′ is not continuous (B) f and f ′ both are continuous C f is continuous … WebSince each x(t,µ,y) is continuous in t for given µ,y, we can restate this result as saying that the map (µ,y) → x(t,µ,y) from a subset of Fm × Fn into (C([a,b]),k · k ∞) is continuous. … flash bitmap logo

Continuous differentiability of a weak solution to very singular ...

Web150 MATHEMATICS Solution The function is defined at x = 0 and its value at x = 0 is 1. When x ≠ 0, the function is given by a polynomial. Hence, 0 lim ( ) x f x → = 3 3 0 lim ( 3) 0 3 3 x x → + = + = Since the limit of f at x = 0 does not coincide wit h f(0), the function is not continuous at x = 0. It may be noted that x = 0 is the only point of discontinuity for this function. WebThe reason is because for a function the be differentiable at a certain point, then the left and right hand limits approaching that MUST be equal (to make the limit exist). For the … WebSolution 21. Yes. Consider the function f (x)= x-1 + x-2 . Since we know that the modulus function is continuous everywhere, so there sum is also continuous. Therefore, function f … flash black shark 1