If x = 4t ,y =(4)/(t) ,then (dy)/(dx)=...

If `x = 4t ,y =(4)/(t) ,then (dy)/(dx)=`

A

` (4)/(x)`

B

` (-4)/(x)`

C

` (16)/( x^(2))`

D

` (-16)/( x^(2))`

Text Solution

Verified by Experts

The correct Answer is:

D

Topper's Solved these Questions

Differential Equation
NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTION|277 Videos
INTEGRATION
NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|582 Videos

Similar Questions

Explore conceptually related problems

If x=t log t ,y =t^(t) ,then (dy)/(dx)=

If x=at,y=(a)/(t)," then "(dy)/(dx)=

If x= 2 cos^(4) (t+3) ,y=3sin ^(4) (t+3) ,then (dy)/(dx)=

If x=ct and y= (c )/(t) , find (dy)/(dx) at t=2 is

If x = t + (1)/(t) "and " y = t - (1)/(t) . "then" (dy)/(dx) is equal to

If x=t^(3) and y=t^(4) then (dy)/(dx) at "t=-1" is

If x=(t+(1)/(t)),y=(t-(1)/(t)) , then (dy)/(dx)=?

If " "x=t^(2),y=t^(3) ," then "(dy)/(dx)" at "t=-1" is "

If x= sin (log t ),y =log (sin t ) ,then (dy)/(dx)=

If y=t^(2)-t+1," then: "(dy)/(dx)=

NIKITA PUBLICATION-DIFFERENTIATION -MCQ

If y= x^(2) +(1)/( x^(2) + (1)/( x^(2) +...infty )),then (dy)/(dx) =
Text Solution
|
If y= (sin x )/( 1+(cos x )/(( sin x)/(1+ ....infty ))),then (dy)/(dx...
Text Solution
|
If x = 4t ,y =(4)/(t) ,then (dy)/(dx)=
Text Solution
|
If x=a(t-(1)/(t)),y=a(t+(1)/(t)), where t be the parameter, then (dy)/...
Text Solution
|
If x= at^(2) ,y= at ,then (dy)/(dx)=
Text Solution
|
If x = 2at^(2) ,y =at^(4) ,then (dy)/(dx) =
Text Solution
|
If x =a ((1-t^(2))/( 1+ t^(2))),y =(2bt )/(1+t^(2) ),then (dy)/(dx) =
Text Solution
|
If x=(2t)/(1+t^2),y=(1-t^2)/(1+t^2),t h e nfin d(dy)/(dx)a tt=2.
Text Solution
|
If x^(2) +y^(2) =t-(1)/(t) andx^(4) +y^(4) =t^(2) +(1)/( t^(2)),then (...
Text Solution
|
if x^2+y^2 = t - 1/t and x^4 + y^4 = t^2 + 1/t^2 then prove that dy/dx...
Text Solution
|
If x=a cos theta ,y=asin theta ,then (dy)/(dx)=
Text Solution
|
If xsin t,y =cos 2t ,then (dy)/(dx) =
Text Solution
|
If x =a cot theta , y=b cosec theta ,then (dy)/(dx)=
Text Solution
|
If x = a sec theta, y = b tan theta " then " (dy)/(dx) = ?
Text Solution
|
If x =asec theta,y = atan theta , then" at" theta =(pi)/( 4) ,(dy)/(d...
Text Solution
|
If x=acos^3t y =asin^3t then (dy)/(dx)=
Text Solution
|
If x = a cos^(3) theta, y = a sin ^(3) theta then sqrt(1+((dy)/(dx))^(...
Text Solution
|
If x=a cos ^(3) t,y =a sin ^(3)t,then " at" t = (pi)/(3) ,(dy)/(dx) ...
Text Solution
|
If x=asec^3thetaa n dy=atan^3theta,fin d(dy)/(dx)a ttheta=pi/3dot
Text Solution
|
If x= sec ^(2) theta, y =tan ^(3) theta ,then " at " theta (pi)/(3) ,...
Text Solution
|