If : f((x^(2)+1)/(x))=(x^(4)+1)/(x^(2)),...

If : `f((x^(2)+1)/(x))=(x^(4)+1)/(x^(2))," where "xne0," then: "f'(3)=`

A

6

B

0

C

3

D

9

Text Solution

Verified by Experts

The correct Answer is:

A

Topper's Solved these Questions

DIFFERENTIATION
MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - I : CHAPTER 11)|19 Videos
DIFFERENTIATION
MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 11)|24 Videos
DIFFERENTIAL EQUATIONS
MARVEL PUBLICATION|Exercise TEST YOUR GRASP|14 Videos
INTEGRATION - DEFINITE INTEGRALS
MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

Similar Questions

Explore conceptually related problems

Let f(x)={{:((2^((1)/(x))-1)/(2^((1)/(x))+1),":",xne0),(0,":,x=0):} , then f(x) is

If f(x) = int(sinx-sin2x)/(x^(3)) dx, where xne0 , then Limit_(xto0) f^(')(x) has the value

If f(x)=int_(x)^(x^(2))(dt)/((logt)^(2)),xne0 then f(x) is

If a function satisfies the condition f(x+1/x)=x^(2)+1/(x^(2)),xne0 , then domain of f(x) is

Let f(x) be a polynomial function satisfying f(x)+f((1)/(x))=f(x)f((1)/(x))" for all "xne0. If f(5)=126" and a,b,c are in G.P., then"f'(a),f'(b),f'(c) are in

If f(x)={{:((e^((1+(1)/(x)))-a)/(e^((1)/(x))+1),":",xne0),(b,":",x=0):} (where a and b are arbitrary constants) is continuous at x = 0, then the value of a^(2) is equal to (use e = 2.7)

If (x^(3)+(1)/x^(3)-k)^(2)+(x+""_(1)/(x)-p)^(2)=0 where k and p are real numbers and xne0 , then (k)/(p) is equal to :

MARVEL PUBLICATION-DIFFERENTIATION-MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 11)

If : f((x^(2)+1)/(x))=(x^(4)+1)/(x^(2))," where "xne0," then: "f'(3)=
Text Solution
|
If x=t*logt" and "y=t^(t)," then: "(dy)/(dx)=
Text Solution
|
If 2x=y^(1//n)," then: "x^(2)(y(1))^(2)=
Text Solution
|
If y=x^(2)+1" and "u=sqrt(1+x^(2))," then: "(dy)/(dx)=
Text Solution
|
If y=sqrt(cos2x)," then: "yy(2)+2y^(2)=
Text Solution
|
If x=(t+1)/(t),y=(t-1)/(t)," then: "(dy)/(dx)=
Text Solution
|
If d/dx\ ((1+x^2+x^4)/(1+x+x^2)) = ax+b, then (a, b) =
Text Solution
|
If cos x =1/sqrt(1+t^(2)), and sin y = t/sqrt(1+t^(2)), then (dy)/(dx)...
Text Solution
|
If y=(x^(1/3)-x^(-1/3))then (dy)/(dx) is
Text Solution
|
If y=(e^(4logx)-e^(3logx))/(e^(2logx)-e^(logx))," then: "(dy)/(dx)=
Text Solution
|
If y=cos^(2)[tan^(-1)sqrt((1-x)/(1+x)))] then dy/dx=
Text Solution
|
d/(dx)[sin^(- 1)(x-(4x^3)/27)]= 4x327dx
Text Solution
|
(d)/(dx)(sec^(2)x*csc^(2)x)=
Text Solution
|
If y=log((1)/(1-x))," then: "(dy)/(dx)-1=
Text Solution
|
If y=4^(log2(sinx))+9^(log3(cosx)," then "(log2(log3)y(1)=
Text Solution
|
If y=cos((1)/(2)cos^(-1)x)," then "(dx)/(dy)=
Text Solution
|
If y=(1+x^(1/4))(1+x^(1/2))(1-x^(1/4)) , then find (dy)/(dx)dot
Text Solution
|
If x^(2)=1+cosy," then: "(dy)/(dx)=
Text Solution
|
Defferential coefficient of x^(x)w.r.t.x*logx is
Text Solution
|
If x=sqrt(y+sqrt(y+sqrt(y+..."to"oo)))," then: "(dy)/(dx)=
Text Solution
|
If 3x^(2)+4xy-5y^(2)=0," then: "(dy)/(dx)=
Text Solution
|