Prove an inequality using Mean Value Theorem
67738
Mean Value theorem problem?(inequality)
73240
How do I prove this form of mean value theorem for integral?
136290
a mathematical problem on inequalities
139711
prove this inequality with $\sum\limits_\text{cyc}\sqrt{1-xy}\ge 2$
23264
Inequality $ \vert \sqrt{a}-\sqrt{b} \vert \leq \sqrt{ \vert a -b \vert } $
30629
mean value theorem question
44233
How to prove this inequality $ x + \frac{1}{x} \geq 2 $
6382
Showing $\frac{x}{1+x}0$ using the mean value theorem
8007
Proof of Young's inequality
66247
Proving inequality $\left( \frac {x} {y}\right) ^{x}\left( \frac {1-x} {1-y}\right) ^{1-x}\geqslant 1$
88838
How can I prove this inequality for $n\geq 2$?
66089
Using AM-GM to prove $\lim_{p\to 0}$ of the $p$-mean is equal to the GM.
111255
Gauss's mean value theorem problem
78599
How to prove that $\frac{b-a}{\sqrt{1-a^2}}<\sin^{-1}b-\sin^{-1}a<\frac{b-a}{\sqrt{1-b^2}}$ by using Mean Value Theorem?
91871
Proving quadratic inequalities?
105047
Prove the inequality $|xy|\leq\frac{1}{2}(x^2+y^2)$
138490
An inequality with a weird condition