Prove that g is equal to a constant a.e.
105700
Proving $\,f$ is constant.
66089
Using AM-GM to prove $\lim_{p\to 0}$ of the $p$-mean is equal to the GM.
63836
Show there exists $g:(0,1)\to\mathbb{R}^2$ such that $h\circ g$ constant, $g$ continuously differentiable and $g$ injective
139111
Prove that $a<c<b$, $\frac{f(b)-f(a)-(b-a)f'(a)}{g(b)-g(a)-(b-a)g'(a)}=\frac{f"(c)}{g"(c)}$
68705
Prove that $A\ge0, B\ge0$ and $A\ge B$ implies $B^{-1}\ge A^{-1}$
84417
Prove that if $\gcd(a,b)=1$ then $\gcd(a^m, b)=1$
109295
Proving $1-\exp(-4x^2/ \pi) \ge \text{erf}(x)^2$
15633
If G is a group of even order, prove it has an element $a \neq e$ satisfying $a^2 = e$.
46863
Show that $g$ is injective
104848
What's the name of this theorem ($f>g$ given $f'>g'$ and initial value)?
147299
Prove that $g(x,y) = \frac{x^3y}{x^2+y^2}$ with $g(0,0)=0$ is continuous
56650
Prove that $(G, \circ)$ is a group if $a\circ x = b$ and $x\circ a = b$ have unique solutions
101872
Prove that $\gcd(a^2, b^2) = \gcd(a, b)^2$
140259
Find the value of $g'(0)$.
72694
Proving that $f(x) = g(x)$ for some $x \in [a,b]$ if $f,g$ continuous, $f(a)  g(b)$
133076
Prove this sum equal to an expression.
56967
Show that $ f^2 − g^2 = C $ for some real constant C