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Recent questions tagged p14

If $ \sqrt{1-y^2}-\sqrt{1-x^2}=a(x-y),\normalsize$ then find $\large\frac{dy}{dx}$

asked Feb 5, 2014 by rvidyagovindarajan_1

1 answer

Verify Rolles theorem for the function $ f(x)=\Large e^{1-x^2}$in the interval [-1,1]

asked Jan 28, 2013 by meena.p

1 answer

If $ x\sqrt{1+y}+y\sqrt{1+x}=0,\normalsize\; Prove\; that\; \Large\frac{dy}{dx}=\frac{-1}{(1+x)^2}$

asked Jan 28, 2013 by meena.p

1 answer

If $ y=\sqrt{x^2-1} - log \bigg(\Large\frac{1}{x}+\sqrt{1+\frac{1}{x^2}}\bigg),\;\normalsize find\;\Large\frac{dy}{dx}$

asked Jan 28, 2013 by meena.p

1 answer

Differentiate $ \cos^{-1} \bigg[\large\frac{3 \cos x-2 \sin x}{\sqrt {13}}\bigg] w.r.t \; \sin^{-1} \bigg[\large\frac{5\sin x +4 \cos x}{\sqrt{41}}\bigg]$

asked Jan 28, 2013 by meena.p

1 answer

If $ x=\cos \theta + log \tan \Large\frac{\theta }{2},\normalsize y=\sin \theta \;find\; \Large\frac {d^2y}{dx^2}\normalsize \;at\;\theta =\Large\frac{\pi}{4}$

asked Jan 28, 2013 by meena.p

1 answer

If $ y^{ \cos x}+(\tan^{-1}x)^y=1,find \Large\frac{dy}{dx}$

asked Jan 28, 2013 by meena.p

1 answer

If $ y=f \bigg(\Large\frac{2x-1}{x^2+1}\bigg)\;\normalsize and\;f' (x)=\sin x^2,\;find\; \Large\frac{dy}{dx}$

asked Jan 28, 2013 by meena.p

1 answer

Find $\Large\frac{dy}{dx}$when$y=\tan^{-1}\bigg[\Large\frac{x^{\frac{1}{3}}+a^{\frac{1}{3}}}{1-x^{\frac{1}{3}}a^{\frac{1}{3}}}\bigg]$

asked Jan 28, 2013 by meena.p

1 answer

If $ y=|\cos x|+|\sin x|,\;find\; \Large\frac{dy}{dx}\; \normalsize at\;x=\Large\frac{2\pi}{3}$

asked Jan 28, 2013 by meena.p

1 answer

If $ y=\Large\frac{1}{\sqrt{b^2-a^2}} \normalsize log \bigg[\Large\frac{\sqrt{b+a}+\sqrt{b-a}\tan \frac{x}{2}} {\sqrt{b+a}-\sqrt{b-a}\tan \frac{x}{2}}\bigg]$ prove that $ \Large\frac {dy}{dx}=\frac{\sec^2\frac{x}{2}}{(b+a)-(b-a) \tan^2\frac{x}{2}}$

asked Jan 28, 2013 by meena.p

1 answer

If $ \sqrt { 1-x^2} +\sqrt {1-y^2}=a(x-y),\;prove\;that\;\Large\frac{dy}{dx}=\sqrt{\frac{1-y^2}{1-x^2}}$

asked Jan 25, 2013 by meena.p

1 answer

Let A={1,2,3,....n} and B={a,b}. Then the number of surjection from A into B is \begin{array}{1 1}(A)\quad"p_2 \qquad & (B)\quad 2"-2\\ (C)\quad 2^n-1 \qquad & (D)\quad none\;of\;these\end{array}

asked Dec 19, 2012 by sreemathi.v

1 answer

If the set A contains 5 elements and the set B contains 6 elements, then the number of one-one and onto mappings from A to B is

asked Dec 19, 2012 by sreemathi.v

1 answer

The identity element for the binary operation $\ast$ defined on $Q\sim \{0\}$ as $a\ast b=\large{\frac{ab}{2}} \normalsize \;a,b\in Q\sim\{0\}$ is

asked Dec 19, 2012 by sreemathi.v

1 answer

Let A={1,2,3} and consider the relation R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)}.Then R is:

asked Dec 19, 2012 by sreemathi.v

1 answer

Let us define a relation R in R as aRb if $a \geq b$.Then R is

asked Dec 19, 2012 by sreemathi.v

1 answer

If a relation R on the set (1,2,3) be defined by R={(1,2)}, then R is

asked Dec 19, 2012 by sreemathi.v

1 answer

The maximum number of equivalence relations on the set A={1,2,3} are

asked Dec 19, 2012 by sreemathi.v

1 answer

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