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If y^(2)= p(x) the is polynomial of orde...

If `y^(2)= p(x)` the is polynomial of order 3, then `2(d)/(dx) [y^(3) (d^(2)y)/(dx^(2))]=`……….

A

`p'''(x) + p'(x)`

B

`p''(x).p'''(x)`

C

`p(x).p'''(x)`

D

`p(x) +p'''(x)`

Text Solution

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The correct Answer is:
C
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KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-Textbook based MCQs
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  3. If y^(2)= p(x) the is polynomial of order 3, then 2(d)/(dx) [y^(3) (d^...

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  5. If sin y= x sin (a+ y) and (dy)/(dx)= (A )/(1 + x^(2)-2x cos a) then t...

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  8. y= tan^(-1) ((ax-b)/(bx + a)) " then " (dy)/(dx)|(x= -1)= ………

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  10. f(x)= sin^(2)x + sin^(2) (x + (pi)/(3)) + cos x cos (x + (pi)/(3)) a...

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  11. y= e^(3x + 7) " then " y(n) (0)=……..

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  12. x= f(t), y= phi (t) then (d^(2)y)/(dx^(2))= ……..

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  14. If y= (a + bx)/(c + dx), where a, b, c, d are constants and lamda y(1)...

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  18. x= t^(2) + 3t- 8,y= 2t^(2) -2t- 4. If at point (2, -1), lamda = (dy)/(...

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