what is the value of e raised to infinity ?

Find the sum: 7+77+777+.....upto n terms.

If x^{y }=e^{x-y }show that

dy/dx=(logx)/{log(xe)}^{2 }

FIND VALUES OF a , b

If x = sint and y = sinpt prove that :

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

if sqrt(1-x^{2)}+ sqrt(1-y^{2}) = a (x-y) prove dy/dx=sqrt((1-y^{2})/(1-x^{2}))

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

plzzz help !!

if y= [log(x+root x^{2}+1)]^{2 }show that (1+x^{2}) d^{2}y/dx^{2} +xdy/dx =2

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

k.c.sinha exercise-13.1 question-

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

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}=0

what is the value of

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

If x

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

^{2 }FIND VALUES OF a , b

If x = sint and y = sinpt prove that :

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

if sqrt(1-x

^{2)}+ sqrt(1-y^{2}) = a (x-y) prove dy/dx=sqrt((1-y^{2})/(1-x^{2}))if x

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

if y= [log(x+root x

^{2}+1)]^{2 }show that (1+x^{2}) d^{2}y/dx^{2}+xdy/dx =2if y= sin inverse [ 5x +12 root 1-x2 by 13 find dy by dx

^{2) }where the tangent to the curve has the greatest slopek.c.sinha exercise-13.1 question-

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

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}=0