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"If "y^(2)=ax^(2)+bx+c," then "y^(3)(d^(...

`"If "y^(2)=ax^(2)+bx+c," then "y^(3)(d^(2)y)/(dx^(2))` is

A

a constant

B

a function of x

C

a function of y

D

a function of x and y both

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The correct Answer is:
A
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OBJECTIVE RD SHARMA ENGLISH-DIFFERENTIATION-Exercise
  1. If f(x)=|{:(x^(3),x^(4),3x^(2)),(1,-6,4),(p,p^(2),p^(3)):}|, where p i...

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  2. If f(x)=x+2," then "f'(f(x))" at "x=4, is

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  3. "If "y^(2)=ax^(2)+bx+c," then "y^(3)(d^(2)y)/(dx^(2)) is

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  4. If x=acostheta,y=bsintheta," then"(d^(3)y)/(dx^(3)) is equal to

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  5. If f(1)=1,f^(prime)(1)=2, then write the value of (lim)(x->1)(sqrt(f(x...

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  6. If variables x and y are related by the equation x=int(0)^(y)(1)/(sq...

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  7. The differential coefficient of a^(log10" cosec"^(-1)x), is

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  8. about to only mathematics

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  9. If y=sin^(2)alpha+cos^(2)(alpha+beta)+2sinalphasinbetacos(alpha+beta),...

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  10. If y=cos2xcos3x, then y(n) is equal to

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  11. If f(x)=(x+1)tan^(-1)(e^(-2x)), then f'(0) is

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  12. if f(x)=3e^(x^2) then f'(x)-2xf(x)+1/3f(0)-f'(0)

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  13. If y=ce^(x//(x-a)), then (dy)/(dx) equals

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  14. If y=sin^(-1)((sinalphasinx))/(1-cos alphasinx), then y'(0), is

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  15. If y=log(x^(2)+4)(7x^(2)-5x+1), then (dy)/(dx) is equal to

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  16. If a curve is given by x= a cos t + b/2 cos2t and y= asint + b/2 sin 2...

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  17. If y=sqrt(x+sqrt(y+sqrt(x+sqrt(y+...oo)))), then (dy)/(dx) is equal to

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  18. If x = e^(tan^(-1))((y-x^2)/x^2) then (dy)/(dx)=

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  19. (d)/(dx)[sin^(2)cot^(-1){sqrt((1-x)/(1+x)}] is equal to

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  20. If siny+e^(-xcosy)=e, then (dy)/(dx) at (1,pi), is

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