Recent questions tagged exercise5-2

Find the modulus and the argument of the complex number $\;z=-\normalsize \sqrt{3} + \normalsize i$

asked Apr 10, 2014 by yamini.v

1 answer

Find the modulus and the argument of the complex number $\;z=-\normalsize 1- \normalsize i\sqrt{3}$

asked Apr 10, 2014 by yamini.v

1 answer

If the curve $ y^{2}=x$ and $xy=k$ are orthogonal than prove that $8k^{2}=1.$

asked May 3, 2013 by poojasapani_1

1 answer

Show that the equation of the normal to the curve $x=a\cos^{3}\theta ; y=a\sin^{3}\theta$ at $\;'\theta'$ is$\; x\cos\theta-y\cos\theta=a\cos 2\theta.$

asked May 3, 2013 by poojasapani_1

1 answer

At what angle $\theta $ do the curves $y=a^{x}$ and $y=b^{x}$ intersect $(a{\neq}b)$?

asked May 3, 2013 by poojasapani_1

1 answer

Prove that the curve $2x^{2}+4y^{2}=1$ and $6x^{2}-12y^{2}=1$ cut each other at right angles.

asked May 3, 2013 by poojasapani_1

1 answer

Let $P$ be a point on the curve $y=x^{3}$ and suppose that the tangent line at $P$ intersects the curve again at $Q$. Prove that the slope at $Q$ is four times the slope at $P$.

asked May 3, 2013 by poojasapani_1

1 answer

Find the equations of normal to $y=x^{3}-3x$ that is parallel to $2x+18y-9=0.$

asked May 3, 2013 by poojasapani_1

1 answer

Find the equations of those tangents to the circle $x^{2}+y^{2}=52,$ which are parallel to the straight line $2x+3y=6$.

asked May 3, 2013 by poojasapani_1

1 answer

At what points on the curve $x^{2}+y^{2}-2x-4y+1=0$ the tangent is parallel to $y$- axis.

asked May 3, 2013 by poojasapani_1

1 answer

At what points on the curve $x^{2}+y^{2}-2x-4y+1=0$ the tangent is parallel to $x$- axis.

asked May 3, 2013 by poojasapani_1

1 answer

Find at what points on the circle $x^{2}+y^{2}=13$, the tangent is parallel to the line $2x+3y=7$.

asked May 3, 2013 by poojasapani_1

1 answer

Find the point on curve $x^{2}-y^{2}=2$ at which the slope of the tangent is $2$

asked May 1, 2013 by poojasapani_1

1 answer

Find the equation of the tangent and normal to the curves.$ \;y=\large\frac{1+\sin x}{\cos x}$ at $\;x=\large\frac{\pi}{4}$

asked May 1, 2013 by poojasapani_1

1 answer

Find the equation of the tangent and normal to the curves.$\;y=2\sin^{2} 3x$ at $\;x=\large\frac{\pi}{6}$

asked May 1, 2013 by poojasapani_1

1 answer

Find the equation of the tangent and normal to the curves.$\;y=x-\sin x\cos x, $at$\;x=\large\frac{\pi}{2}$

asked May 1, 2013 by poojasapani_1

1 answer

Find the equation of the tangent and normal to the curves. $y=x^{2}-4x-5$ at $\;x=-2$

asked May 1, 2013 by poojasapani_1

1 answer

Differentiate the following functions with respect to $x:\; sinx(ax+b)$

asked Apr 4, 2013 by balaji.thirumalai

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

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

Ask Questions, Get Answers

Find the modulus and the argument of the complex number $\;z=-\normalsize \sqrt{3} + \normalsize i$

Find the modulus and the argument of the complex number $\;z=-\normalsize 1- \normalsize i\sqrt{3}$

If the curve $ y^{2}=x$ and $xy=k$ are orthogonal than prove that $8k^{2}=1.$

Show that the equation of the normal to the curve $x=a\cos^{3}\theta ; y=a\sin^{3}\theta$ at $\;'\theta'$ is$\; x\cos\theta-y\cos\theta=a\cos 2\theta.$

At what angle $\theta $ do the curves $y=a^{x}$ and $y=b^{x}$ intersect $(a{\neq}b)$?

Prove that the curve $2x^{2}+4y^{2}=1$ and $6x^{2}-12y^{2}=1$ cut each other at right angles.

Let $P$ be a point on the curve $y=x^{3}$ and suppose that the tangent line at $P$ intersects the curve again at $Q$. Prove that the slope at $Q$ is four times the slope at $P$.

Find the equations of normal to $y=x^{3}-3x$ that is parallel to $2x+18y-9=0.$

Find the equations of those tangents to the circle $x^{2}+y^{2}=52,$ which are parallel to the straight line $2x+3y=6$.

At what points on the curve $x^{2}+y^{2}-2x-4y+1=0$ the tangent is parallel to $y$- axis.

At what points on the curve $x^{2}+y^{2}-2x-4y+1=0$ the tangent is parallel to $x$- axis.

Find at what points on the circle $x^{2}+y^{2}=13$, the tangent is parallel to the line $2x+3y=7$.

Find the point on curve $x^{2}-y^{2}=2$ at which the slope of the tangent is $2$

Find the equation of the tangent and normal to the curves.$ \;y=\large\frac{1+\sin x}{\cos x}$ at $\;x=\large\frac{\pi}{4}$

Find the equation of the tangent and normal to the curves.$\;y=2\sin^{2} 3x$ at $\;x=\large\frac{\pi}{6}$

Find the equation of the tangent and normal to the curves.$\;y=x-\sin x\cos x, $at$\;x=\large\frac{\pi}{2}$

Find the equation of the tangent and normal to the curves. $y=x^{2}-4x-5$ at $\;x=-2$

Differentiate the following functions with respect to $x:\; sinx(ax+b)$

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

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

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

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

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

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

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

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

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