Recent questions tagged easy

If $f(x)=\mid \cos x\mid$,then $f'(\frac{\pi}{4})$=____________.

asked Jan 3, 2013 by sreemathi.v

1 answer

Derivative of $x^2$ w.r.t $x^3$ is _____________.

asked Jan 3, 2013 by sreemathi.v

1 answer

An example of a function which is continuous everywhere but fails to be differentiable exactly at two point is ____________.

asked Jan 3, 2013 by sreemathi.v

1 answer

For the function $f(x)=x+\large \frac{1}{x},\normalsize x\in[1,3]$,the value of c for mean value theorem is

asked Jan 3, 2013 by sreemathi.v

1 answer

The value of c in Rolle's theorem for the function $f(x)=x^3-3x$ in the interval $[0,\sqrt 3]$ is

asked Jan 3, 2013 by sreemathi.v

1 answer

If $x=t^2$,$y=t^3,then\;\large \frac{d^2y}{dx^2}$ is

asked Jan 3, 2013 by sreemathi.v

1 answer

Find the value of y if $\begin{bmatrix} x-y & 2 \\ x & 5 \end{bmatrix} = \begin{bmatrix} 2 & 2 \\ 3 & 5 \end{bmatrix} $

asked Jan 2, 2013 by thanvigandhi_1

1 answer

In the matrix $A=\begin{bmatrix} 2 & 5 & 19 & -7 \\ 35 & -2 & \frac{5}{2} & 12 \\ \sqrt 3 & 1 & -5 & 17 \end{bmatrix} $Write (i) The order of the matrix .

asked Jan 2, 2013 by thanvigandhi_1

1 answer

If $y=log\bigg(\large \frac{1-x^2}{1+x^2}\normalsize \bigg),then\;\large \frac{dy}{dx}$ is equal to

asked Jan 2, 2013 by sreemathi.v

1 answer

Let $f(x)=|sin x|$,then

asked Jan 2, 2013 by sreemathi.v

1 answer

If $f(x)=\left \{\begin{array}{1 1}mx+1, & if\;x\leq\large\frac{\pi}{2}\\\sin x+n, & if\;x>\large\frac{\pi}{2}\end{array}\right.$,is continuous at $x=\large\frac{\pi}{2}$,then

asked Jan 2, 2013 by sreemathi.v

1 answer

If $f(x)=x^2\sin \frac{1}{x}$,when $x\neq0$,then the value of the function f at $x=0$,so that the function is continuous at $x=0$,is

asked Jan 2, 2013 by sreemathi.v

1 answer

The function $f(x)=e^{|x|}$ is

asked Jan 2, 2013 by sreemathi.v

1 answer

The function $f(x)=\cot x$ is discontinuous on the set

asked Jan 2, 2013 by sreemathi.v

1 answer

The set of points where the functions f given by $f(x)=|2x-1|\sin x$ is differentiable is

asked Jan 2, 2013 by sreemathi.v

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The function $f(x)=\Large \frac{4-x^2}{4x-x^3}$ is

asked Jan 2, 2013 by sreemathi.v

1 answer

If f(x)=2x and $g(x)=\Large {\frac{x^2}{2}}\normalsize+1$,then which of the following can be a discontinuous function

asked Jan 2, 2013 by sreemathi.v

1 answer

Using elementary transformations, find the inverse of the following matrix : $ \begin{bmatrix} 1 & 2 & 3 \\ 2 & 5 & 7 \\ -2 & -4 & -5 \end{bmatrix} $

asked Jan 2, 2013 by thanvigandhi_1

1 answer

Verify the Rolle's theorem for the function $f(x)=x(x-1)^2\;in\;[0,1]$

asked Jan 2, 2013 by sreemathi.v

1 answer

Find the value of x and y if : $2\begin{bmatrix} 1 & 3 \\ 0 & x \end{bmatrix} + \begin{bmatrix} y & 0 \\ 1 & 2 \end{bmatrix} = \begin{bmatrix} 5 & 6 \\ 1 & 8 \end{bmatrix} $

asked Jan 2, 2013 by thanvigandhi_1

1 answer

If $y=(\cos x)^{\Large(\cos x)^{(\Large \cos x)..........\infty.}},$show that $\large {\frac{dy}{dx}=\frac{y^2\tan x}{ylog\cos x-1}}$

asked Jan 2, 2013 by sreemathi.v

1 answer

If $y^{\large x}=e^{\large y-x},prove\;that\;\large {\frac{dy}{dx}=\frac{(1+logy)^2}{log y}}$

asked Jan 2, 2013 by sreemathi.v

1 answer

Find $\large \frac{dy}{dx}$ when x and y are connected by the relation $(x^2+y^2)^2=xy$

asked Jan 2, 2013 by sreemathi.v

1 answer

Find $\large \frac{dy}{dx}$ when x and y are connected by the relation $\tan^{-1}(x^2+y^2)=a $

asked Jan 2, 2013 by sreemathi.v

1 answer

Find $\large \frac{dy}{dx}$ when x and y are connected by the relation $\sec(x+y)=xy$

asked Jan 2, 2013 by sreemathi.v

1 answer