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If f(x)=|{:(x^(3),x^(4),3x^(2)),(1,-6,4)...

If `f(x)=|{:(x^(3),x^(4),3x^(2)),(1,-6,4),(p,p^(2),p^(3)):}|`, where p is a constant, then `(d^(3))/(dx^(3))(f(x))`, is

A

proportional to `x^(3)`

B

proportional to`x^(2)`

C

proportional to x

D

a constant

Text Solution

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The correct Answer is:
D
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