List of top Mathematics Questions

$\displaystyle \lim_{x \to 0}$ $\left(cos\,x+sin\,x\right)^{\frac{1}{x}}$ equals

$\displaystyle \lim_{h \to 0}$ $\frac{\left(a+h^{2}\right)sin\left(a+h\right)-a^{2}\,sin\,a}{h}=$

Differential coefficient of $\sqrt{sec\sqrt{x}}$ is

Differential coefficient of $tan^{-1} \frac{2x}{1-x^{2}}$ with respect to $sin^{-1} \frac{2x}{1+x^{2}}$ will be

Differential co-efficient of $\log_{10} x $ w.r.t. $log_x 10$ is

Derivative of the function $f(x) = log_5(log_7x)$, $x > 7$ is

Derivative of $\sec^{-1} \left( \frac{1}{2x^2 + 1 } \right)$ w.r.t. $\sqrt{ 1 + 3x} $ at $x = - \frac{1}{3}$ is

Derivative of the function $f(x) = 7x^{-3} $ is

$\Delta =\begin{vmatrix} sin^2x & cos^2x & 1 \\[0.3em] cos^2x &sin^2x & 1 \\[0.3em] -10 & 12& 2 \end{vmatrix}$

$\frac{d}{dx}\left\{cosec^{-1}\left(\frac{1+x^{2}}{2x}\right)\right\}$ is equal to

$\frac{d}{dx}\left(tan^{-1}\left(\frac{\sqrt{x}-\sqrt{a}}{1+\sqrt{xa}}\right)\right)$, $x$, $a > 0$, is

If $ lim_{ x \to 0 } [ 1 + x \, log \, (1 + b^2) ]^{\frac{1}{x}} = 2 b sin^2 \, \theta, b > 0 \, and \, \theta \in ( - \pi , \pi), $ then the value of $ \theta $ is

$\frac{d^{2}x}{dy^{2}} $ equals :

$cos[tan^{-1}\{sin(cot^{-1}x)\}]$ is equal to

$\cos^2 \, 1^\circ + cos^2 2^0 + cos^2 \, 3^0 + ... + \cos^2 \, 90^\circ$ =

$\cos \theta .\cos(90 - \theta) - \sin \theta \sin (90 - \theta)$ equals:

$\cos^{-1}(\cos\,x)=x$ is satisfied by

Convert $240^{\circ}$ into radian.