The product rule with square roots
I am suppose to find the derivative of $H(u) = (u - \sqrt{u})(u - \sqrt{u})$ I know the formula is the derivative of the second function times the first f...
Apr 17, 2026 1 VIEWS
Topic: General
5104 Articles 
Simplifying a set theory expression
I'm learning the different laws used to simplify set theory expressions and I'm stuck at a more difficult task. I want to simplify the following...
Apr 17, 2026 1 VIEWS
Partial Derivative with Respect to Multiple Variables
If we take a multivariable function such as $w=f(x,y,z)=x^2+y^2+z^2$, I understand that we can take its partial derivative with respect to any one of its ...
Apr 17, 2026 1 VIEWS
If you inscribe a square inside a circle what is the name of the shape in the circle but outside of the square
When you inscribe a square in a circle there is part of the circle that is not in the square. There are $4$ of these shapes. What is the name of these sha...
Apr 17, 2026 1 VIEWS
Finding the Radius of Convergence of Series.
Find the radius of convergence of the series: $$\sum_{n=0}^{\infty} 5^{(-1)^n}z^n$$ This was an old homework question. I tried finding the radius of conve...
Apr 16, 2026 1 VIEWS
How to find the determinant of this matrix? (A spherical-Cartesian transformation Jacobian matrix)
I meet a difficult determinant question as the followings: $$ \text{Matrix A is given as:} $$ $$ A=\begin{bmatrix}\frac{\partial x}{\partial r}&\frac{...
Apr 16, 2026 1 VIEWS
What is i (mod p)?
Is there a difference between $i$ mod $p$, and $i$ (mod $p$)? To give context, this is the original problem: if $i \geq 0$ what is $i$ (mod $p$)? edit: Fo...
Apr 16, 2026 1 VIEWS
Difference between conjugacy classes and subgroups?
I am studying Group theory and Im not sure I understand the difference between a conjugacy class and subgroup?
Apr 16, 2026 2 VIEWS
Why does the cumulative distribution function of the standard normal distribution have point symmetry in (0,0.5)?
The probability distribution function for the standard normal distribution, $\phi(z)=\frac{e^{-\frac{1}{2}z^2}}{\sqrt{2\pi}}$ is even, with line symmetry ...
Apr 16, 2026 1 VIEWS
General Proof for the triangle inequality
I am trying to prove: $P(n): |x_1| + \cdots + |x_n| \leq |x_1 + \cdots +x_n|$ for all natural numbers $n$. The $x_i$ are real numbers. Base: Let $n =1$: w...
Apr 16, 2026 1 VIEWS
How to find the general solution of this equation?
$$y'=(xy'+y)y^3$$ I don't know how to approach this problem with the two $y'$.
Apr 16, 2026 1 VIEWS
Why is there a different button for 'minus' and 'negative' on a calculator?
Perhaps this is more of a programming question than anything else, and if so I'll gladly migrate it on over to StackOverflow, but I think this site m...
Apr 16, 2026 1 VIEWS