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NIKITA PUBLICATION-DIFFERENTIATION -MCQ
- If y=3cos(logx)+4sin(logx),\ then show that x^2dot(d^2\ y)/(dx^2)+...
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- If y= cos ec x -cot x ,then sin x (d^(2)y)/(dx^(2))=
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- If y=sin(log(e)x), then x^(2)(d^(2)y)/(dx^(2))+x(dy)/(dx) is equal to
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- If y=cos (log x) ,then " "x^(2) (d^(2)y)/(dx^(2))+x(dy)/(dx)=
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- If y=sin (msin ^(-1) x),then (1-x^(2))(d^(2)y)/(dx^(2))-x( dy)/(dx)=
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- If y=sin(mcos^(-1)x),"show that "(1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)...
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- If y=cos (mcos ^(-1) x ),then (1-x^(2)) (d^(2)y)/(dx^(2) )-x( dy)/(dx)...
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- If y= sin (mlog (x+ sqrt( 1+x^(2)))),then (1+x^(2) ) (d^(2)y)/(dx^(2)...
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- If y=a cos ( log x )+ bsin (log x) where a ,b are parameters ,then ...
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- If y= 3e^(2x)+ 2e^(3x) ,then (d^(2)y)/(dx^(2))-5(dy)/(dx) =
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- If u=A e ^(mx) +Be^(nx ) ,then y2-( m+n) y1+ mn y=
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- 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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