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If y= x^(2) (sin x+cos x) ,then (d^(2)y...

If ` y= x^(2) (sin x+cos x) ,then (d^(2)y)/(dx^(2))=`

A

` (2-x^(2))(sin x + cos x )+ 4x ( cos x-sin x ) `

B

` (2-x^(2))(sin x + cos x )- 4x ( cos x-sin x ) `

C

` (x^(2)-2)(sin x + cos x )+ 4x ( cos x-sin x ) `

D

` (x^(2)-2)(sin x + cos x )- 4x ( cos x-sin x ) `

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The correct Answer is:
A
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NIKITA PUBLICATION-DIFFERENTIATION -MCQ
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  2. If y=x^x , find (d^2y)/(dx^2) .

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  3. If y= x^(2) (sin x+cos x) ,then (d^(2)y)/(dx^(2))=

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  4. If y=x log x ,then (d^(2)y)/(dx^(2))=

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  5. If y=e^(x) sin 3x ,then (d^(2)y)/(dx^(2))=

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  6. If y= e^(4x) cos 5x ,then (d^(2)y)/(dx^(2))=

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  7. If y= e^(2x) tan x ,then ( d^(2)y)/(dx^(2))=

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  8. If y= x^(3)log x,then ( d^(2)y)/(dx^(2)) =

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  9. If y=x^(n)log nx.,then (d^(2)y)/(dx^(2))=

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  10. If y = x^(3)log ( log (1+x) ) ,theny''(0) =

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  11. If y={"log"(x+sqrt(x^2+1))}^2,"s h o wt h a t"(1+x^2)(d^2y)/(dx^2)+x(...

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  12. If y=(x+sqrt(1+x^2))^n then (1+x^2)(d^2y)/(dx^2)+x(dy)/(dx)

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  13. If y=(x+sqrt(1+x^2))^n then (1+x^2)(d^2y)/(dx^2)+x(dy)/(dx)

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  14. (i) If y^(1//m) + y^(-1//m) = 2x then prove that (x^(2)-1) (d^(2)y)/(...

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  15. If y="sin"(sinx),"p r o v et h a t" (d^2y)/(dx^2)+tanx(dy)/(dx)cos^...

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  16. If y=3cos(logx)+4sin(logx),\ then show that x^2dot(d^2\ y)/(dx^2)+...

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  17. If y= cos ec x -cot x ,then sin x (d^(2)y)/(dx^(2))=

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  18. If y=sin(log(e)x), then x^(2)(d^(2)y)/(dx^(2))+x(dy)/(dx) is equal to

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  19. If y=cos (log x) ,then " "x^(2) (d^(2)y)/(dx^(2))+x(dy)/(dx)=

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  20. If y=sin (msin ^(-1) x),then (1-x^(2))(d^(2)y)/(dx^(2))-x( dy)/(dx)=

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