calculus - How to determine whether this function is differentiable …
How to determine whether this function is differentiable at a point? Ask Question Asked 10 years, 1 month ago Modified 5 years, 9 months ago
How to determine if function is differentiable?
Mar 3, 2024 · The way I think about differentiability is like this: "Can a function be differentiated at every point?" But that doesn’t really help me, I have been looking for a specific formula I can …
How to examine if multivariable functions are differentiable?
Normally, if you suspect a function to be differentiable, the easiest is to show that its partial derivatives exist and are continuous. This will imply differentiability (although it is not a …
How to prove that a function is differentiable everywhere?
Jan 5, 2017 · 1 Since we need to prove that the function is differentiable everywhere, in other words, we are proving that the derivative of the function is defined everywhere. In the given …
Determining where a function is complex differentiable
No, you don't need to check the limit (although you can if you want to). The existence of the complex limit is equivalent to the CR equations (when the function is continuously …
Defining differentiablity of a function of two variables
Jul 20, 2019 · This definition captures the heuristic idea of "approximating a non-linear function by a linear function". (From this definition, you can show that differentiability implies continuity).
calculus - Is the function $x|x|$ differentiable at $0
May 11, 2017 · Yes if the left derivate and right derivates at a point coincides then the function is derivable at that point with that derivate. As you've (correctly) identified these as both being …
Prove whether the function is differentiable about a given interval.
2 So It's obvious that the given function is continuous between -1 to 0 and 0 to 1, hence the only point left to test is whether the function is continuous at 0 and so I took the limit of x->0+ to be …
Let $f (x)=|x|+|x-1|$. Check the differentiability of $f$ at $x=0$ and ...
Dec 5, 2017 · 0 You can simply get them by plotting the graph of the function. The function is non-differentiable at all sharp points and hence at $x=0,1$
calculus - Check if a Function is Differentiable at a Point ...
Dec 25, 2015 · Check if a Function is Differentiable at a Point Ask Question Asked 9 years, 10 months ago Modified 9 years, 10 months ago