WebbAnswer: The best way to look at is to think “what makes a function strictly differentiable?” One of the requirements is that the function is continuous. And one requirement of a function being continuous is that it has a value at every real number. To see why this is not the case, plug in x=0:... Webb1 Answer. Sorted by: 2. The function, let's call it f, is indeed differentiable. For x ≠ 0 we have. f ′ ( x) = 2 x sin 1 x − cos 1 x. using the chain and product rules. At zero, using the …
Why is $x^2\sin(1/x) $ not strictly differentiable? - Quora
WebbOne is to check the continuity of f (x) at x=3, and the other is to check whether f (x) is differentiable there. First, check that at x=3, f (x) is continuous. It's easy to see that the limit from the left and right sides are both equal to 9, and f (3) = 9. Next, consider differentiability at x=3. This means checking that the limit from the ... WebbA differentiable function with discontinuous partial derivatives. Although this function contains a wildly oscillating sinusoidal component, these oscillations are flattened out at the origin. The function does have a horizontal tangent plane at the origin, i.e., it is differentiable there. The cross sections x = 0 (in red) and y = 0 (in green ... doug pederson age
The function f(x) = x^2 sin(1/x), x ≠ 0, f(0) = 0 at x = 0 (A) Is ...
WebbDISCLAMER : Use of solution provided by us for unfair practice like cheating will result in action from our end which may include permanent termination of the defaulter’s account Use of solution provided by us for unfair practice like cheating will result in action from our end which may include Webb30 mars 2024 · Since we need to find continuity at of the function We check continuity for different values of x When x ≠ 0 When x = 0 Case 1 : When x ≠ 0 For x ≠ 0, f (x) = 𝑥2 sin〖1/𝑥 … Webb30 mars 2024 · Ex 5.2, 9 - Chapter 5 Class 12 Continuity and Differentiability (Term 1) Last updated at March 30, 2024 by Teachoo Get live Maths 1-on-1 Classs - Class 6 to 12 civil engineering remote jobs in ny state