query: What is a function which differs when differentiated with respect to x and then with y to function differentiated with respect to y and then x?
positive_passages.docid: 149365
positive_passages.text: When is partial differentiation commutitive
negative_passages.docid: 55268
negative_passages.text: Differentiable and Continuous functions on [0,1] with 'weird' conditions.
negative_passages.docid: 134122
negative_passages.text: When is differentiating an equation valid?
negative_passages.docid: 134721
negative_passages.text: A method for evaluating sums/discrete functions by assuming they can be made continuous and differentiable?
negative_passages.docid: 30590
negative_passages.text: Are "most" continuous functions also differentiable?
negative_passages.docid: 29647
negative_passages.text: Do there exist functions satisfying $f(x+y)=f(x)+f(y)$ that aren't linear?
negative_passages.docid: 8072
negative_passages.text: Why Is a Function Defined As Having Only One Y-Value Output?
negative_passages.docid: 106830
negative_passages.text: are $f(f(x))=f(x)$ and $f(x)=x$ equivalent?
negative_passages.docid: 118012
negative_passages.text: Meaning of different Orders of Derivative
negative_passages.docid: 91430
negative_passages.text: If $f$ is twice differentiable, $\big(f(y) - f(x)\big)/(y-x)$ is differentiable
negative_passages.docid: 125788
negative_passages.text: A function with a property $f(x+y)=f(x)f(y)$
negative_passages.docid: 88240
negative_passages.text: Two functions discontinuous, but sum continuous
negative_passages.docid: 409
negative_passages.text: functions satisfying $f(x - y) = f(x) f(y) - f(a - x) f(a + y)$ and $f(0)=1$
negative_passages.docid: 83479
negative_passages.text: Example how maximizing and minimizing a function can be equivalent?
negative_passages.docid: 128546
negative_passages.text: Sequential definition of differentiation
negative_passages.docid: 6417
negative_passages.text: Can a function be differentiable at the end points of its (closed interval) domain?
negative_passages.docid: 77074
negative_passages.text: If $ f(f(f(x)))=x$, does$ f(x)=x$ necessarily follow?