Differential coefficient of (x^((1+m)/(m...

Differential coefficient of `(x^((1+m)/(m-n)))^((1)/(n-1)).(x^((m+n)/(l-m)))^((1)/(m-n)).(x^((n+l)/(l-m)))^((1)/(m-n))w.r.t.x,` is

-1

`x^(1mn`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

DIFFERENTIAL CALCULUS
VMC MODULES ENGLISH|Exercise LEVEL 2|103 Videos
DIFFERENTIAL CALCULUS
VMC MODULES ENGLISH|Exercise Numerical Value Type for JEE Main|14 Videos
DIFFERENTIAL CALCULUS
VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos
CONIC SECTIONS
VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|76 Videos
DIFFERENTIAL CALCULUS 2
VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|81 Videos

Similar Questions

Explore conceptually related problems

Differential coefficient of (x^((l+m)/(m-n)))^(1//(n-l))*(x^((m+n)/(n-l)))^(1//(l-m))*(x^((n+l)/(l-m)))^(1//(m-n)) wrt x is

Show that : ((a^(m))/(a^(-n)))^(m-n)xx((a^(n))/(a^(-1)))^(n-1)xx((a^(l))/(a^(-m)))^(l-m)=1

Simplify : ((a^(m))/(a^(n)))^(m+n)((a^(n))/(a^(l)))^(n+l)((a^(l))/(a^(m)))^(l+m)

The coefficient of x^m in (1+x)^m +(1+m)^(m+1) +...+(1+x)^n ,m≤n is

If x^m occurs in the expansion (x+1//x^2)^(2n) , then the coefficient of x^m is a. ((2n)!)/((m)!(2n-m)!) b. ((2n)!3!3!)/((2n-m)!) c. ((2n)!)/(((2n-m)/3)!((4n+m)/3)!) d. none of these

If f(x)=((x^l)/(x^m))^(l+m)((x^m)/(x^n))^(m+n)((x^n)/(x^l))^(n+l) , then f'(x)

2{(m-n)/(m+n)+1/3((m-n)/(m+n))^(3)+1/5((m-n)/(m+n))^(5) +..} is equals to

(x^(m+n)xxx^(n+l)xxx^(l+m))/(x^mxxx^nxxx^l)

If y=(x-a)^(m)(x-b)^(n) , prove that (dy)/(dx)=(x-a)^(m-1)(x-b)^(n-1)[(m+n)x-(an+bm) ].

IfI(m , n)=int_0^1x^(m-1)(1-x)^(n-1)dx ,(m , n in I ,m ,ngeq0),t h e n (a) I(m , n)=int_0^oo(x^(m-1))/((1+x)^(m-n))dx (b) I(m , n)=int_0^oo(x^(m-1))/((1+x)^(m+n))dx (c) I(m , n)=int_0^oo(x^(n-1))/((1+x)^(m+n))dx (d) I(m , n)=int_0^oo(x^n)/((1+x)^(m+n))dx

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS-LEVEL -1

If x=sin theta and y=cos^(3) then 2y(d^(2)y)/(dx^(2))+4((dy)/(dx))^(2)...
Text Solution
|
If u=3x^(12) and v=x^(6) then (du)/(dv) is
Text Solution
|
If x=e^(-t^(2)), y=tan^(-1)(2t+1), then (dy)/(dx)=
Text Solution
|
If x^y y^x=1 , prove that (dy)/(dx)=-(y(y+xlogy))/(x(ylogx+x))
Text Solution
|
If x = t + (1)/(t) "and " y = t - (1)/(t) . "then" (dy)/(dx) is equa...
Text Solution
|
Let f(x)=m ax{2 sin x,1-cosx},x epsilon (0,pi). Then set of points of ...
Text Solution
|
Differential coefficient of (x^((1+m)/(m-n)))^((1)/(n-1)).(x^((m+n)/(l...
Text Solution
|
Let f (x) be a polynomial in x. The second derivative of f (e ^(x)) w...
Text Solution
|
If 8f(x)+6f(1/x)=x+5 and y=x^2(f(x), then (dy)/(dx) at x=-1 is equal t...
Text Solution
|
If f(x)=x^(n),"n" epsilon N, then the value of f(1)-(f^(')(1))/(1!)+(f...
Text Solution
|
If y=sin^(-1)((1-x^2)/(1+x^2))+cos^(-1)((1-x^2)/(1+x^2)) , find (dy)/(...
Text Solution
|
Find (dy)/(dx), if y=sin^(-1)[xsqrt(\ 1-x)-\ sqrt(x)\ sqrt(1-x^2)\ ]\
Text Solution
|
If x=(1+t)/(t^(3)),y=(3)/(2t^(2))+(2)/(t) satisfy f(x)((dy)/(dx))^(3)=...
Text Solution
|
The derivative of sin^(-1)((2x)/(1+x^(2))) with respect to cos^(-1)((1...
Text Solution
|
Let f(x)=x+1/(2x+1/(2x+1/(2x+...…...oo))) Compute the value of f...
Text Solution
|
Evaluate underset(xto0)lim(1-cos(1-cosx))/(x^(4)).
Text Solution
|
If alpha an beta are roots of ax^(2)+bx+c=0 the value for lim(xto alph...
Text Solution
|
lim(xto0)(tan([-pi^(2)]x^(2))-x^(2)tan([-pi^(2)]))/(sin^(2)x) equals (...
Text Solution
|
underset(xtooo)lim(sin^(4)x-sin^(2)x+1)/(cos^(4)x-cos^(2)x+1)is equal ...
Text Solution
|
The range of f9x)=[|s in x|+|cosx"|""]"dot Where [.] denotes the great...
Text Solution
|