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If y^(2)=p(x) is a polynomial of degree ...

If `y^(2)=p(x)` is a polynomial of degree 3, then `2(d)/(dx)(y^(3)(d^(2)y)/(dx^(2)))` is equal to

A

`P(x)+P''(x)`

B

`P(x)`

C

`P(x)P'''(x)`

D

a constant

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-DIFFERENTIATION-Exercise
  1. If y=x+e^x , find (d^2x)/(dy^2) .

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  2. Given that, F(x)=(1)/(x^(2))int(4)^(x)(4t^(2)-2F'(t))dt, find F'(4).

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  3. If y^(2)=p(x) is a polynomial of degree 3, then 2(d)/(dx)(y^(3)(d^(2)y...

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  4. if 2^x+2^y=2^(x+y) then the value of (dy)/(dx) at x=y=1

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  5. The derivative of tan^(-1)((sqrt(1+x^2)-1)/x) with respect to tan^(-1)...

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  6. If y=tan^(-1){((log)e(e//x^2))/((log)e(e x^2))}+tan^(-1)((3+2\ (log)e ...

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  7. The expression of (dy)/(dx) of the function y=a^(x^(a^(x...^(oo)))), i...

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  8. If sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y), then (dy)/(dx) equals

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  9. If y=e^(1+log(e)x), then the value of (dy)/(dx) is equal to

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  10. If x^(y)=e^(x-y), then (dy)/(dx) is equal to

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  11. Let f(x)=(x^(2))/(1-x^(2)),xne0,+-1, then derivative of f(x) with resp...

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  12. If y=e^(sin^(-1)x)" and "u=logx," then"(dy)/(du), is

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  13. The differential coefficient of f(x)=log(logx) with respect to x is

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  14. If y=(tan^- 1)(sqrt(1+x^2)-1)/x, then y'(1) is equal to

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  15. The derivative of sin^(-1)((sqrt(1+x)+sqrt(1-x))/(2)) with respect to ...

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  16. If f(x)=log(a)(log(a)x), then f'(x), is

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  17. The differential coefficient of f((log)e x) with respect to x , where ...

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  18. If x^(m).y^(n)=(x+y)^(m+n), prove that (i) (dy)/(dx) =(y)/(x) and (i...

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  19. The value of (d)/(dx)(|x-1|+|x-5|) at x=3, is

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  20. y = sec^(- 1)((x+1)/(x-1))+sin^(- 1)((x-1)/(x+1)), x > 0. Find dy/dx

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