List of top Mathematics Questions

If $z_{1}$, $z_{2}$, $z_{3}$ are any three complex numbers such that $\left|z_{1}\right|=\left|z_{2}\right|=\left|z_{3}\right|=\left|\frac{1}{z_{1}}+\frac{1}{z_{2}}+\frac{1}{z_{3}}\right|=1$, then find the value of $\left|z_{1}+z_{2}+z_{3}\right|$.

If $z$ is a complex number such that $|z|\geq\,2$, then the minimum value of $ |z + (1/2) | $

If $z_1=2\sqrt2(1+i)$ and $z_2=1+i\sqrt3$ , then $z_1^2\,\,z_2^3$ is equal to

If $z_1$ and $z_2$ are any two complex numbers, then $|z_1+\sqrt {z_1^2-z_2^2}|+ |z_1+\sqrt {z_1^2-z_2^2}| $ is equal to

If $z_1,z_2$ are two complex numbers and such that $\left|\frac{z_1-z_2}{z_1+z_2}\right|=1$ and $iz_1=Kz_2$ where $K\,\in\,R$, then the angle between $z_1-z_2$ and $z_1+z_2$ is

If $y=\left(tanx\right)^{sinx}$, then $\frac{dy}{dx}$ is equal to

If $y = x^x , x > 0 $ , then $\frac{dy}{dx}$ is

If $y=sin^{-1}\left(\frac{\sqrt{x}-1}{\sqrt{x}+1}\right)+sec^{-1}\left(\frac{\sqrt{x}+1}{\sqrt{x}-1}\right)$, $x > 0$, then $\frac{dy}{dx}$ is equal to

If $y=\frac{sin\left(x+9\right)}{cos\,x}$, then $\frac{dy}{dx}$ at $x = 0$ is

If $y = \left(\sin x\right)^{\left(\sin x\right)^{\left(\sin x\right)....\infty}} ,$ then $ \frac{dy}{dx} = $

If $y = \tan^{-1} \frac{x-\sqrt{1-x^{2}}}{x+\sqrt{1-x^{2}}} , $ then $ \frac{dy}{dx} $ is equal to

If $y = \log\, \tan \, \sqrt{x}$ then the value of $\frac{dy}{dx}$ is:

If $y = \log(\sec x + \tan x),$ then $\frac{dy}{dx} = $

If $y =\log_{\sin x } \left(\tan x\right),$ then $\left(dy/dx\right)\pi/{4} = $

$ If y = sec^{-1} [cosec\, x] + cosec^{-1} [sec\, x] + sin^{-1} [cos x] + cos^{-1} [sin\, x], then \frac{dy}{dx}$is equal to

If $y = e^{(1 + \log_e \, x)}$, then $\frac{dy}{dx}$ is equal to :

If $y=e^{3x+7}$, then the value of $\frac{dy}{dx} \bigg|_{x=0}$ is

If $ y = \log \{ \log ( \log \:x)^2 \} $ then $\frac{dy}{dx}$ is equal to :

If $y =\log_{e}x \left(x-2\right)^{2}$ for $ x \ne0 , 2 $ then $y' \left(3\right) = $

If $y=e^{\frac{1}{2}log\left(1+tan^{2}\,x\right)}$, then $\frac{dy}{dx}$ is equal to

If $y=2^{x}\cdot3^{2x-1}$, then $\frac{dy}{dx}$ is equal to

If $y = ax^2 + b$, then $\frac{dy}{dx}$ at $x = 2$ is equal to

If $y = 3x^2 + 2$ and if x changes from 10 to 10.1, then the approximate change in y will be?

If $y = \frac{ax - b}{\left(x-1\right)\left(x-4\right)}$ has a turning point $P(2, -1)$, then find the value of $a$ and $b$ respectively.

If xy + yz + zx = 1, then :