Call me

Have a Query? We will call you right away.

+91

E.g: 9876543210, 01112345678

We will give you a call shortly, Thank You

Office hours: 9:00 am to 9:00 pm IST (7 days a week)

What are you looking for?

Syllabus

what is the value of

eraised to infinity ?Find the sum: 7+77+777+.....upto n terms.

if y= sin inverse [ 5x +12 root 1-x2 by 13 find dy by dx

If x

^{y }=e^{x-y }show thatdy/dx=(logx)/{log(xe)}

^{2 }if y= [log(x+root x

^{2}+1)]^{2 }show that (1+x^{2}) d^{2}y/dx^{2}+xdy/dx =2FIND VALUES OF a , b

integration of root tanx ?

If x = sint and y = sinpt prove that :

(1 - xsquare)d2y/dx2 - xdy/dx + psquarey = 0

if x

^{m}y^{n}= (x+y)^{m+n}show that dy/dx= y/x and find d^{2}y/dx^{2}plzzz help !!

show that the function f(x)=|x-1|+|x+1|, for all x belongs to R is not differentiable at the point x= -1 and x=1.if sqrt(1-x

^{2)}+ sqrt(1-y^{2}) = a (x-y) prove dy/dx=sqrt((1-y^{2})/(1-x^{2}))^{2}+y^{2}+z^{2}-2xyz=1 ,,, Then dx/(1-x^{2})^{1/2 }+ dy(1-y^{2})^{1/2}+ dz(1-z^{2})^{1/2}^{2) }where the tangent to the curve has the greatest slopetan

^{-1}( 5x / 1 - 6x^{2})The answer:( 3 / 1 + 9x

^{2}+ 2 / 1 + 4x^{2})k.c.sinha exercise-13.1 question-

f(x)={(1-cos4x)/x^2 if x k if x=0

(√x)/√16+root of x-4 }

y=xlog(x/(a+bx)), prove that x^3Xd^2y/dx^2 = (x(dy/dx)-y)^2

Find d2y/dx2

Differentiate tan

^{-1}[ (root 1 - x^{2}) / x ]^{}w.r.t. cos^{-1}[2x (root 1 - x^{2})].if e

^{x}+e^{y}=e^{x+y},prove that dy/dx+e^{y-x}=0If x

^{p}y^{q}=(x+y)^{p+q}, then prove that dy/dx=y/x._{x6 + root 1-y}^{6 = }^{a3(x3-y3). }prove dy/dx = x^{2}/y^{2}*wholeroot 1-y^{6}/1-x^{6}√x +bx^2 - √x / b x^3/2 , x >0

function is continuous at x=0

Examine continuity of function f(x) = e

^{1/x}-1 / e^{1/x}+1 at x=0c ,x=0

(under root x+bx)-(under root x)/b under root x

^{3}, x>0 is constant at x=0^{}find the value of 'a' for which the function f defined by

f(x)={a sin( pie/2) x+1 ,x

<0{(tan x -sinx) / x

^{3},x>0is continuous at x=0

if Cosy= xCos(a+y), show that dy/dx= cos

^{2}(a+y)/sin(a)If Y = e^x ( Sin x + cos x ) ,then show that

d^2y / dx^2 - 2 dy / dx + 2y = 0 .

show that f(x) =|x-2| is continuous but not differentiable at x=2. Please reply!!URGENT!!!

^{2 /}a^{2}+ y^{2/}b^{2}= 1 show that d^{2}y/ dx^{2}= - b^{4}/a^{2}y^{3}if e

^{x}+e^{y}=e^{x+y},prove that dy/dx= -e^{y-x}if siny= xsin(a+y),then prove that dy/dx=sin^2(a+y)/sin a

Differentiate w.r.t. x : y = tan

^{-1}[ (under root 1 + a^{2}x^{2}) - 1 / ax ]Q1. Verify that x

^{2}= 2y^{2}log y is a solution of the differential equation $\left({x}^{2}+{y}^{2}\right)\frac{dy}{dx}-xy$ = 0.Q2. Verify that y = e

^{x}cos bx is a solution of the differential equation $\frac{{d}^{2}y}{d{x}^{2}}-2\frac{dy}{dx}+2y$ = 0.[CBSE 2006 ]

differentiate wrtx

under root (1+sinx/1-sinx)

If y= root tan x + root tan x_+ root tan x + .......... to infinity, prove that dy/dx = sec

^{2}x/2y - 1types of partial fraction

^{3}t / root under cos 2t , y = cos^{3}t/ root under cos 2t, find dy/dx.The answer: - cot 3t

show that f(x)=sin 3x/tan 2x if x<0 ,3/2 if x=0 and log(1+3x)/e has power 2x minus1 if x>0 ; is continuous at x=o.

If x = a (θ - sin θ) and y = a (1 - cos θ), find y

_{2}at θ = .f(x)=(1-cos 2x)(1-cos x). x#0

f(x)=k. x=0

is continuous at x=0

^{-1}[(a+bcosx)/(b+acosx)] w.r.t xFind the intervals in which the function f(x) = sin^4x + cos^4x is increasing or decreasing where the range of x is ( 0, pie/2) .

If y = sin

^{-1}( 2x / 1 + x^{2}) + sec^{-1}( 1 + x^{2}/ 1 - x^{2}) , show that dy/dx = 4 / ( 1 + x^{2})If y = sin (sin x), prove that

d

^{2}y/dx^{2}+ (tan x) dy/dx + y cos^{2}x = 0.differentiate w.r.t. x-

log base 7(log x)

if

xy_{+}_{y}x =_{a}b find dy/dxfind the derivative of cos root x wrt x from first principle??

If x=tan(1/a logy) Show that (1+x

^{2})d^{2}y/dx^{2}+ (2x-a)dy/dx = 0^{y/x}=x, prove that x^{3}d^{2}y/dx^{2 }= (x.dy/dx - y)^{2}if x=a sin2t(1+cos2t) and y=b cos2t(1-cos2t) find dy/dx.

y=log((1-x

^{2})/(1+x^{2}))if x=2cost -cos2t and y=2sint -sin2t . find d

^{2}y/dx^{2.plzzz help}^{2}+ y^{2}= 1 are at right angles , then x1x2/y2y1 is equal to - a^{4}/b^{4}. prove thisIf log(x

^{2}+y^{2})=2tan^{-1(}y/x), then show that dy/dx=x+y/x-y.if y=log tan(pi/4 +x/2) then show that dy/dx-sec x =0

Please solve the following problems.

1. Y = Sin(mSin

^{-1}x) prove that1-x^{2}^{ }- xy^{-1}+m^{2}y = 02

2. Y = Cosec x + Cot x prove that sin x (

d) = y^{2}y^{2}dx

^{2}3. If Y = 3cos(log x) + 4sin(log x) show that x

^{2 }(d) + (^{2}ydy) + y = 0dx

^{2}dxif tan(x^2-y^2/x^2+y^2)=a then prove that dy/dx=y/x

prove that the greatest integer function x is continuous at all points except at integer points

find derivative of y = log {tan(pie/4 + x/2)}

y=ecos^{x}bxis a solution of the differential equation $\frac{{d}^{2}y}{d{x}^{2}}-2\frac{dy}{dx}+2y=0$.^{-1}( x^{2}- y^{2}/ x^{2}+ y^{2}) = tan^{-1}a, prove that dy/dx = y/xx

^{2}/ a^{2}+ y^{2}/ b^{2}= 1The answer: - b

^{2}x / a^{2}yIf x= 3sint-sin3t, y= 3cost-cos3t, find d^2y/dx^2 at t=pi/3

if X ki power y +Y ki power x =a ki power b. find dy/dx

if x= 2 cos theta - cos 2 theta and y=2sin theta - sin 2theta then prove that dy/dx = tan (3 theta/2)