Email

Chat with tutors

Login

Ask Questions, Get Answers

Menu X

home ask tuition questions practice papers mobile tutors pricing

X

Recent questions tagged ch5

Differentiate the following w.r.t. $x : e^{sin^{-1} x} $

asked Nov 16, 2012 by thanvigandhi_1

1 answer

Differentiate the following w.r.t. $x : \large \frac{e^x}{sin\;x}$

asked Nov 16, 2012 by thanvigandhi_1

1 answer

Find $\large \frac {dy}{dx} $ in the following: $ y = sec^{-1} \left(\large\frac{1}{2x^2 - 1}\right), 0 < x < \; { \frac{1}{\sqrt2} } \\ $

asked Nov 16, 2012 by thanvigandhi_1

1 answer

Find $\large \frac {dy}{dx} $ in the following: $y = \sin^{-1} \big( 2x \sqrt{1 -x^2} \big), -\;{ \frac{1}{\sqrt2} }\;< x < \;{\frac{1}{\sqrt2} }\\ $

asked Nov 16, 2012 by thanvigandhi_1

1 answer

Find \( \large\frac {dy}{dx} \) in the following: $ y = cos^{-1} \left(\large\frac{2x}{1 + x^2}\right), -1 < x < 1 $

asked Nov 15, 2012 by thanvigandhi_1

1 answer

Find $ \frac {dy}{dx} $ in the following:$ y = sin^{-1} \left(\frac{1 - x^2}{1 + x^2}\right), 0 < x < 1 $

asked Nov 15, 2012 by thanvigandhi_1

1 answer

Find \( \frac {dy}{dx} \) in the following: $y = cos^{-1} \left(\frac{1 - x^2}{1 + x^2}\right), 0 < x < 1 $

asked Nov 15, 2012 by thanvigandhi_1

1 answer

Find $ \frac {dy}{dx}$ in the following: $y = tan^{-1} \left(\frac{3x - x^3}{1 - 3x^2}\right), - \; { \frac{1}{\sqrt3} } < x < \;{\frac{1}{\sqrt3} }\\ $

asked Nov 15, 2012 by thanvigandhi_1

1 answer

Find $ \frac {dy}{dx} $ in the following: $ y = sin^{-1} \left(\frac{2x}{1 + x^2}\right) $

asked Nov 15, 2012 by thanvigandhi_1

1 answer

Find $ \frac {dy}{dx} $ in the following: $ \sin^2x +\cos^2y = 1 $

asked Nov 11, 2012 by thanvigandhi_1

1 answer

Find \( \frac {dy}{dx} \) in the following: \( sin^2y + cos \: xy = k \)

asked Nov 11, 2012 by thanvigandhi_1

1 answer

Find $ \frac {dy}{dx} $ in the following: $ x^3 +x^2y + xy^2 +y^3 = 81 $

asked Nov 11, 2012 by thanvigandhi_1

1 answer

Find $ \frac {dy}{dx} $ in the following: $ x^2 +xy + y^2 = 100 $

asked Nov 11, 2012 by thanvigandhi_1

1 answer

Find $ \frac {dy}{dx} $ in the following: $ xy +y^2 = tan \: x + y $

asked Nov 11, 2012 by thanvigandhi_1

1 answer

Find $\frac {dy}{dx}$ in the following: $ax +by^2 = cos \: y$

asked Nov 11, 2012 by thanvigandhi_1

1 answer

Find $\frac {dy}{dx}$ in the following: $2x +3y = sin \: y$

asked Nov 11, 2012 by thanvigandhi_1

1 answer

Find $\frac {dy}{dx}$ in the following: $2x +3y = sin \: x$

asked Nov 11, 2012 by thanvigandhi_1

1 answer

Find the values of $k$ so that the function $f$ is continuous at the indicated point in $ f(x) = \left\{ \begin{array} {1 1} \large\frac{k\cos x}{\pi - 2x}\normalsize,& \quad { if \; x \neq \large\frac{\pi}{2} }\\ \normalsize 3 ,& \quad { if \; x = \large\frac{\pi}{2} }\\ \end{array} \right. \qquad at \; x = \; \large\frac{\pi}{2} $

asked Nov 11, 2012 by thanvigandhi_1

1 answer

Find the values of $a$ and $b$ such that the function defined by $ f(x) = \left\{ \begin{array} {1 1} 5 ,& \quad\text{ if $ x $ \(\leq 2\)}\\ ax+b,& \quad \text{if $2$ < x<10}\\ 21,& \quad \text{if $ x $ \(\geq 10\)}\\ \end{array} \right.$ is a continuous function.

asked Nov 11, 2012 by thanvigandhi_1

1 answer

Find the values of $k$ so that the function $f$ is continuous at the indicated point in $ f(x) = \left\{ \begin{array} {1 1} kx+1 ,& \quad\text{ if $ x $ \(\leq 5\)}\\ 3x-5,& \quad \text{if $x$ > 5}\\ \end{array} \right.\qquad at \; x = 5 $

asked Nov 11, 2012 by thanvigandhi_1

1 answer

Find the values of $k$ so that the function $f$ is continuous at the indicated point in $f(x) = \left\{ \begin{array} {1 1} kx+1 ,& \quad\text{ if $ x $ \(\leq \pi\)}\\ \cos x,& \quad \text{if $x$ > \(\pi\)}\\ \end{array} \right.$ at $x = \pi$

asked Nov 11, 2012 by thanvigandhi_1

1 answer

Find the values of $k$ so that the function $f$ is continuous at the indicated point in $ f(x) = \left\{ \begin{array} {1 1} kx^2 ,& \quad\text{ if $ x $ \(\leq 2\)}\\ 3,& \quad \text{if $x$ > 2}\\ \end{array} \right. \qquad at \;x = 2 $

asked Nov 11, 2012 by thanvigandhi_1

1 answer

Examine the continuity of $f$, where $f$ is defined by $ f(x) = \left\{ \begin{array} {1 1} \sin x - \cos x,& \quad\text{ if \(x\) \(\neq\) 0 }\\ -1 ,& \quad \text{if $x$ =0}\\ \end{array} \right. $

asked Nov 10, 2012 by thanvigandhi_1

1 answer

Determine if $f$ defined by $f(x) = \left\{ \begin{array} {1 1} x^2sin \large\frac{ 1 }{x},\normalsize & \quad\text{ if x \(\neq\) 0 }\\ 0 ,& \quad \text{if $x$ =0}\\ \end{array} \right. $ is a continuous function?

asked Nov 10, 2012 by thanvigandhi_1

1 answer

Find all points of discontinuity of \(f\), where $ f(x) = \left\{ \begin{array} {1 1} \large\frac {sinx} {x},\normalsize & \quad\text{ if \(x\) < 0 }\\ x + 1 ,& \quad \text{if $x$ \( \geq 0\)}\\ \end{array} \right. $

asked Nov 10, 2012 by thanvigandhi_1

1 answer

For what value of \( \lambda \) is the function defined by \(f\) defined by $ f(x) = \left\{ \begin{array} {1 1} \lambda(x^2 - 2x) ,& \quad\text{ if $ x $ \(\leq 0\)}\\ 4x + 1,& \quad \text{if $x$ > 0}\\ \end{array} \right. $ Continuous at \(x = 0\)?

asked Nov 10, 2012 by thanvigandhi_1

1 answer

Find the relationship between \(a\) and \(b\) so that the function \(f\) defined by $ f(x) = \left\{ \begin{array} {1 1} ax + 1 ,& \quad\text{ if $ x $ \(\leq 3\)}\\ bx + 3,& \quad \text{if $x$ > 3}\\ \end{array} \right. $ is continuous at \(x = 3\).

asked Nov 10, 2012 by thanvigandhi_1

1 answer

Discuss the continuity of the function $f$, where $f$ is defined by $f(x) = \left\{ \begin{array} {1 1} -2 ,& \quad\text{ if $ x $ \(\leq -1\)}\\ 2x,& \quad\text{ if $ -1 $ < x \(\leq1\)}\\ 2 ,& \quad\text{ if $ x $ > 1}\\ \end{array} \right. $

asked Nov 9, 2012 by thanvigandhi_1

1 answer

Discuss the continuity of the function $f$, where $f$ is defined by $ f(x) = \left\{ \begin{array} {1 1} 2x ,& \quad\text{ if $ x $ < 0}\\ 0,& \quad\text{if $ 0 $ \(\leq x\) \(\leq1\)}\\ 4x ,& \quad\text{ if $ x $ > 1}\\ \end{array} \right. $

asked Nov 9, 2012 by thanvigandhi_1

1 answer

Discuss the continuity of the function $f$, where $f$ is defined by \[ f(x) = \left\{ \begin{array} {1 1} 3 ,& \quad\text{ if $ 0 $ \(\leq x\) \(\leq1\)}\\ 4,& \quad\text{if $ 1 $ < \(x\) < 3 }\\ 5 ,& \quad\text{ if $ 3 $ \(\leq x\) \(\leq10\)}\\ \end{array} \right. \]

asked Nov 9, 2012 by thanvigandhi_1

1 answer

Is the function defined by $ f(x) = \left\{ \begin{array} {1 1} x + 5 ,& \quad\text{ if $ x $ \(\leq 1\)}\\ x - 5,& \quad \text{if $x$ > 1}\\ \end{array} \right. $ a continuous function?

asked Nov 9, 2012 by thanvigandhi_1

1 answer

Find all points of discontinuity of $f$, where $f$fined by $ f(x) = \left\{ \begin{array} {1 1} x^{10} -1 ,& \quad\text{ if $ x $ \(\leq 1\)}\\ x^2,& \quad \text{if $x$ > 1}\\ \end{array} \right. $

asked Nov 9, 2012 by thanvigandhi_1

1 answer

Find all points of discontinuity of $f$, where $f$ is defined by $ f(x) = \left\{ \begin{array} {1 1} x^3-3 ,& \quad\text{ if $ x $ \(\leq 2\)}\\ x^2+1,& \quad \text{if $x$ > 2}\\ \end{array} \right. $

asked Nov 9, 2012 by thanvigandhi_1

1 answer

Find all points of discontinuity of $f$, where $f$ is defined by $f(x) = \left\{ \begin{array} {1 1} x + 1,& \quad\text{ if $ x $ \(\geq 1\)}\\ x^2+1,& \quad \text{if $x$ < 1}\\ \end{array} \right. $

asked Nov 9, 2012 by thanvigandhi_1

1 answer

Find all points of discontinuity of $f$, where $f$ is defined by $f(x) = \left\{ \begin{array} {1 1} \large \frac x { |\;x\;| },& \quad\text{ if \(x\) < 0 }\\ -1 ,& \quad \text{if $x$ \( \geq 0\)}\\ \end{array} \right. $

asked Nov 9, 2012 by thanvigandhi_1

1 answer

Find all points of discontinuity of $f$, where $f$ is defined by $ f(x) = \left\{ \begin{array} {1 1} \large \frac{ |\;x\;| }x,& \quad\text{ if x \(\neq\) 0 }\\ 0 ,& \quad \text{if $x$ =0}\\ \end{array} \right. $

asked Nov 9, 2012 by thanvigandhi_1

1 answer

Find all points of discontinuity of \(f\), where \(f\) is defined by $ f(x) = \left\{ \begin{array} {1 1} |\;x\;| + 3,& \quad\text{ if $ x $ \(\leq -3\)}\\ -2x ,& \quad \text{if $-3$ <x< 3}\\ 6x+2, & \quad\text{if $x$ \(\geq 3\)}\\ \end{array} \right. $

asked Nov 8, 2012 by thanvigandhi_1

1 answer

Prove that the greatest integer function defined by $ f(x) = [x], 0<x<3$ is not differentiable at $x = 1 $ and $ x = 2 $

asked Nov 8, 2012 by thanvigandhi_1

1 answer

Prove that the function \( f \) given by $f(x) = | x - 1 |, x \in R\;$ is not differentiable at $\; x = 1$.

asked Nov 8, 2012 by thanvigandhi_1

1 answer

Differentiate the functions with respect to x in $\;\cos(\sqrt {x} \;) $

asked Nov 8, 2012 by thanvigandhi_1

1 answer

Differentiate the functions with respect to x: $\;2\sqrt {cot (x^2)}$

asked Nov 8, 2012 by thanvigandhi_1

1 answer

Differentiate the functions with respect to x: $ cos \; x^3. sin^2 (x)^5 $

asked Nov 8, 2012 by thanvigandhi_1

1 answer

Differentiate the functions with respect to $x: \large \frac{ sin\; (ax + b) } { cos \;( cx + d)} $

asked Nov 8, 2012 by thanvigandhi_1

1 answer

Find all points of discontinuity of $f$, where $f$ is defined by $f(x) = \left\{ \begin{array} {1 1} 2x + 3,& \quad\text{ if $ x $ \(\leq 2\)}\\ 2x - 3,& \quad \text{if $x$ > 1}\\ \end{array} \right. $

asked Nov 7, 2012 by thanvigandhi_1

1 answer

Is the function f defined by $f(x) = \left\{\begin{array}{l l} x, & \quad \text{if $x$ \( \leq \) 1}\\ 5, & \quad \text{if $x$ > 1}\\ \end{array} \right.$ continuous at $(x = 0)$? At $(x = 1)$? At $(x = 2)$?

asked Nov 7, 2012 by thanvigandhi_1

1 answer

Differentiate the functions with respect to $x$: $sec \;( tan (\sqrt x ) )$

asked Nov 7, 2012 by thanvigandhi_1

1 answer

Differentiate the function with respect to x: $cos\;(sin x)$

asked Nov 7, 2012 by thanvigandhi_1

1 answer

Differentiate the functions with respect to x: $ \; sin ( x^2 + 5 ) $

asked Nov 7, 2012 by thanvigandhi_1

1 answer

Discuss the continuity of the following functions: \[ f ( x ) = sin\; x . cos\; x \]

asked Nov 7, 2012 by thanvigandhi_1

0 answers

Discuss the continuity of the following functions: \[ f ( x ) = sin\; x - cos\; x \]

asked Nov 7, 2012 by thanvigandhi_1

0 answers

Page:

« prev
1
...
22
23
24
25
26
next »

Feedback Terms Facebook Twitter About Us

Your payment for is successful.

...