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NIKITA PUBLICATION-DIFFERENTIATION -MCQ
- If y= e ^(mcos ^(-1)x) ,then (1-x^(2) ) (d^(2)y)/(dx^(2)) -x(dy)/(dx)...
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- If y= x^(2) e^(x) ,then ( d^(2)y)/(dx^(2)) -(dy)/(dx) =
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- If e^(y) (x+1) =1,then y2=
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- (a+bx)e^(y/x)=x , Prove that x^3(d^2y)/(dx^2)=(x(dy)/(dx)-y)^2
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- "If "y= xlog ((x)/(a+bx))," then "x^(3)(d^(2)y)/(dx^(2))=
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- If y=log (log 2x) ,then x ( d^(2)y)/(dx^(2))+(dy)/(dx) =
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- If y=sin^(-1)x , then show that (1-x^2)\ (d^2y)/(dx^2)-x(dy)/(dx)=0 .
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- If y=(tan^(-1)x)^2 , then prove that (1+x^2)^2\ y2+2x\ (1+x^2)y1=2 .
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- If y=x^(x) ,then xy (d^(2)y)/(dx^(2))-x((dy)/(dx) )^(2)=
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- If x=at^2, y=2at then (d^2y)/dx^2 is equal to
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- If x=2at ^(2),y =4at ,then (d^(2)y)/(dx^(2) )=
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- let y=t^(10)+1, and x=t^8+1, then (d^2y)/(dx^2) is
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- If x= a sec theta ,y =a tan theta ,then " at " theta = (pi)/(4) ,(d^(...
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- If x = sin theta, y = sin^(3) theta then (d^(2)y)/(dx^(2)) at theta = ...
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- If x=costheta,ysin^3theta,"p r o v et h a t" y(d^2y)/(dx^2)+((dy)/(...
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- If x=acos^3theta and y=asin^3theta, then find the value of (d^2y)/(...
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- If x=a sin theta ,y =bcos theta,then (d^(2)y)/(dx^(2))=
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- If x = 2 cos t - cos 2t , y = 2 sin t - sin 2t, then the value of ...
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- If x= asin t- b cos t ,y=a cost +bsin t,then y^(3) (d^(2) y)/(dx^(2) ...
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- If x =theta -sin theta ,y=1-cos theta,then (d^(2)y)/(dx^(2))=
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