Find the value of p for which the function f(x)=$\left(\frac{\sqrt{p+4}}{1-p}-1\right)x^{5}-3x+ln5$ decreases $\forall$x $\in\mathbb{R}$
127396
When is $f=\left(\frac{\sqrt{p+4}}{1-p}-1\right)x^5-3x+\ln5$ decreasing $\forall\; x$?
145578
How find the value $\beta$ such $\left|\frac{p}{q}-\sqrt{2}\right|<\frac{\beta}{q^2}$
35169
Finding the limit of $\left(\frac{n}{n+1}\right)^n$
32122
Find the coefficient of the term $x^2$ in $\left(x+\frac 2x\right)^{4}$
140622
Find the value of : $\lim_{x \to \infty} \sqrt{4x^2 + 4} - (2x + 2)$
42901
Find the values of $\alpha$ and $\beta$ for which the function $f$ is of bounded variation on $[0,1]$?
20055
Find minimum value of $\sum \frac{\sqrt{a}}{\sqrt{b}+\sqrt{c}-\sqrt{a}}$
45742
Prove that ${\left(\frac{x+1}{2}\right)}^{x+1} \leq x^x$
51864
$\left( \frac{1 \cdot 2}{p} \right) + \left( \frac{2 \cdot 3}{p} \right) + \cdots + \left( \frac{(p-2)(p-1)}{p} \right) = -1$
146349
$\int_0^\infty \frac{\ln\left(1+x-\sqrt{2x}\right)}{1+x^2}\,dx$
72769
How find this function $xf(x^2)=f(x),x>0$
107133
Let f(x) be a polynomial satisfying $\lim_{x \to\infty} \frac{x^4f(x)}{x^8+1}=3,$ $f(2)=5 $ and $f(3)=10$, $f(-1)=2$ and $f(-6)=37$
23485
Solving $\forall x \in \mathbb{R}_+^*, f'(x) = f\left(\frac1{x}\right)$
144090
How to solve the functional equation $f\left(x^2+f(y)\right)=y+f(x)^2$
122407
If $f(x) = x^3+3x+4\;,$ Then value of $ \int_{-1}^{1}f(x)dx+\int_{0}^{4}f^{-1}(x)dx$
53748
Find maximum value of $\int_{0}^{1}\left(f(x)\right)^3dx$
60206
Find minimum of $P=\frac{\sqrt{3(2x^2+2x+1)}}{3}+\frac{1}{\sqrt{2x^2+(3-\sqrt{3})x +3}}+\frac{1}{\sqrt{2x^2+(3+\sqrt{3})x +3}}$