query: proof of $d(xy) = x(dy) + y(dx)$
positive_passages.docid: 101394
positive_passages.text: Please explain the logic behind $d(xy) = y(dx) + x(dy)$
negative_passages.docid: 138082
negative_passages.text: What are the coefficients in the expansion of $(x+y)(x+2y) \cdots (x+ny)$?
negative_passages.docid: 54266
negative_passages.text: Prove that $\int_a^b \left( \int_c^d f(x,y)dy\right) dx=\int_c^d \left( \int_a^b f(x,y)dx\right) dy$
negative_passages.docid: 31937
negative_passages.text: How do I prove equality of x and y?
negative_passages.docid: 49984
negative_passages.text: Valid justification for algebraic manipulation of $\mathrm{d}y/\mathrm{d}x$?
negative_passages.docid: 120292
negative_passages.text: How to formally prove: if $d\mid da+b$, then $d\mid b$?
negative_passages.docid: 102175
negative_passages.text: $Z=XY$, $E_Z[Z]$, $E_{X,Y}[XY]$
negative_passages.docid: 94218
negative_passages.text: Showing $d(x,y) = \frac{|x-y|}{1+|x-y|}$ is a distance.
negative_passages.docid: 108704
negative_passages.text: Help with proof of $|x+y| \geq |x|-|y|$
negative_passages.docid: 73099
negative_passages.text: Why is $d(x^2)= 2xdx$?
negative_passages.docid: 49211
negative_passages.text: Solving $f(x+y) = f(x)f(y)f(xy)$
negative_passages.docid: 144713
negative_passages.text: Simple Calculus Proof
negative_passages.docid: 118727
negative_passages.text: $g(x+y)+g(x)g(y)=g(xy)+g(x)+g(y)$ for all $x,y$.
negative_passages.docid: 34693
negative_passages.text: Prove $E^{\mathbb Q}[Y]=E^{\mathbb P}[XY]$ if $E^{\mathbb P}[X]=\mathbb P(X>0)=1$ and $ \mathbb Q(A)=E^{\mathbb Q}[X1_A] $
negative_passages.docid: 45370
negative_passages.text: Is it true that $|d(x, z) - d(y, z)| \leq d(x, y)$ and how do I prove it?
negative_passages.docid: 16550
negative_passages.text: Is $ d(X) \le s(X)? $
negative_passages.docid: 32856
negative_passages.text: Functional equations $f(x+y)= f(x) + f(y)$ and $f(xy)= f(x)f(y)$