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DifferentiationQuestion and Answers: Page 2

Question Number 208855    Answers: 1   Comments: 0

Question Number 208553    Answers: 3   Comments: 0

Question Number 208499    Answers: 0   Comments: 0

Question Number 207954    Answers: 2   Comments: 0

x

x

Question Number 207175    Answers: 2   Comments: 0

If x^m .y^n = (x + y)^(m + n) then (d^2 y/dx^2 ) = ?

Ifxm.yn=(x+y)m+nthend2ydx2=?

Question Number 207122    Answers: 1   Comments: 0

If e^y (x + 1) = 1 then prove that (d^2 y/dx^2 ) = ((dy/dx))^2 .

Ifey(x+1)=1thenprovethatd2ydx2=(dydx)2.

Question Number 207109    Answers: 3   Comments: 0

If y = (1 + x)(1 + x^2 )(1 + x^4 ) .... (1 + x^(2n) ) then find (dy/dx) at x = 0.

Ify=(1+x)(1+x2)(1+x4)....(1+x2n)thenfinddydxatx=0.

Question Number 206882    Answers: 1   Comments: 0

f(x)=tan^2 x (√(tan x((tan x((tan x((tan x(√(...))))^(1/5) ))^(1/4) ))^(1/3) )) f ′((π/4))=?

f(x)=tan2xtanxtanxtanxtanx...543f(π4)=?

Question Number 206340    Answers: 2   Comments: 0

∫_0 ^( 1) (( ln(1−x )ln(1+x ))/x)dx = Σ_(n=1) ^∞ Ω_n find : Σ_(n=1) ^∞ n Ω_n = ?

01ln(1x)ln(1+x)xdx=n=1Ωnfind:n=1nΩn=?

Question Number 206244    Answers: 1   Comments: 0

ζ

ζ

Question Number 205827    Answers: 2   Comments: 0

x^3 +y^3 =1 find the implceat second derivative

x3+y3=1findtheimplceatsecondderivative

Question Number 205393    Answers: 0   Comments: 0

Question Number 205338    Answers: 2   Comments: 0

Question Number 205200    Answers: 1   Comments: 0

∫_1 ^∞ (x/(x^3 +lnx)) dx=?

1xx3+lnxdx=?

Question Number 205024    Answers: 0   Comments: 0

Question Number 205013    Answers: 2   Comments: 0

if y=(x)^(1/7) prove that y^′ =(1/(7 (x^6 )^(1/7) ))

ify=x7provethaty=17x67

Question Number 204909    Answers: 1   Comments: 0

Ω= ∫_(1/e) ^( e) (( arctan(x))/x) dx=?

Ω=1eearctan(x)xdx=?

Question Number 204878    Answers: 2   Comments: 0

prove that: (e)^(1/4) < ∫_0 ^( 1) e^( t^2 ) dt< ((1 + e)/2)

provethat:e4<01et2dt<1+e2

Question Number 204826    Answers: 1   Comments: 11

A rectangular enclosure is to be made against a straight wall using three lengths of fencing. The total length of the fencing available is 50m. Show that the area of the enclosure is 50x − 2x^2 , where x is the length of the sides perpendicular to the wall. Hence find the maximum area of the enclosure.

Arectangularenclosureistobemadeagainstastraightwallusingthreelengthsoffencing.Thetotallengthofthefencingavailableis50m.Showthattheareaoftheenclosureis50x2x2,wherexisthelengthofthesidesperpendiculartothewall.Hencefindthemaximumareaoftheenclosure.

Question Number 204372    Answers: 2   Comments: 0

If , f : [ 0 , b] →^(continuous) R , g : R →_(b−periodic) ^(continuous) R ⇒ lim_(n→∞) ∫_0 ^( b) f(x)g(nx)dx=^? (1/b) ∫_0 ^( b) f(x)dx .∫_0 ^( b) g(x)dx

If,f:[0,b]continuousR,g:RcontinuousbperiodicRlimn0bf(x)g(nx)dx=?1b0bf(x)dx.0bg(x)dx

Question Number 203835    Answers: 2   Comments: 0

Question Number 203063    Answers: 1   Comments: 0

Question Number 202866    Answers: 1   Comments: 0

calculate ... 𝛗= ∫_0 ^( 1) (( tanh^( −1) (x))/((1 + x )^( 2) )) dx = ?

calculate...ϕ=01tanh1(x)(1+x)2dx=?

Question Number 201940    Answers: 1   Comments: 0

tan^3 (xy^2 +y)=x find (dy/dx)

tan3(xy2+y)=xfinddydx

Question Number 201534    Answers: 0   Comments: 1

let f(x)=tanx find f^((n)) (x) with n integr natural

letf(x)=tanxfindf(n)(x)withnintegrnatural

Question Number 201214    Answers: 1   Comments: 0

A ball lies on the function z=xy at the point (1,2,2). Find the point in the xy−plane where the ball will touch it. (an unsolved old question Q200929)

Aballliesonthefunctionz=xyatthepoint(1,2,2).Findthepointinthexyplanewheretheballwilltouchit.(anunsolvedoldquestionQ200929)

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