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NIKITA PUBLICATION-DIFFERENTIATION -MCQ
- Differential coefficient of tan^(-1)sqrt((1-x^2)/(1+x^2)) w.r.t. cos^(...
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- [" (v) Differentiate "log[(sqrt(1+x^(2))+x)/(sqrt(1+x^(2))-x)]" w.r.t....
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- Derivative of tan ^(-1) ((a-x)/( 1+ax) ) w.r.t. sin ^(-1) (3x-4x^(3))...
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- Derivative of tan ^(-1) ((sqrt( 1+x^(2))-1)/( x)) w.r.t. tan ^(-1) ((...
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- Derivative of tan ^(-1) ((sqrt( 1+x^(2))-1)/( x)) w.r.cos ^(-1) sqrt(...
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- Find the differential coefficient of : (tan^(-1)x)/(1+tan^(-1)x)" ...
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- If x^2+6x y+y^2=10, Show that (d^2y)/(dx^2)=80/((3x+y)^3).
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- If y= x ^(3) +5x^(2) -3x +10 ,then (d^(2)y)/(dx^(2))=
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- If ax^(2)+2hxy+by^(2)=0,"show that "(d^(2)y)/(dx^(2))=0
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- If a x^2+2h x y+b y^2=1,t h e n(d^(2y))/(dx^2) is (h^2-a b)/((h x+b y)...
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- If x^my^n = (x + y)^(m+n), prove that (d^2y)/(dx^2)=0.
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- If y=a x^(n+1)+b x^(-n) , then x^2(d^2y)/(dx^2)= n(n-1)y (b) n(n+1)y ...
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- If y^2=a x^2+b x+c , then y^3(d^2y)/(dx^2) is (a) a constant (b) a fun...
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- if (x-a)^2+(y-b)^2=c^2 then {1+((dy)/(dx))^2}/{(d^2y)/(dx^2)} =?
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- If f(x) =1 + nx+ (n(n-1))/(2) x^(2) + (n(n-1)(n-2))/(6) x^(3) + ...+...
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- If y=5" cos"x-3" sin"x, prove that (d^(2)y)/(dx^(2))+y=0.
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- If y=sec x -tan x ,then (d^(2)y)/(dx^(2)) =
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- If y=cos ^(2) ((3x) /( 2))-sin ^(2) ((3x)/( 2) ),then (d^(2)y)/( dx^(...
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- If y= sin x sqrt ( cos x ) ,then (d^(2)y)/(dx^(2)) =
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- If y=cos (log x) ,then (d^(2)y)/(dx^(2))=
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