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NDA Math Differentiation

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For the next two (2) items that follow :
Consider the function
f(x)=|

x3	sinx	cosx
6	−1	0
p	p2	p3

|
Where p is constant.

[NDA I 2016]

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Question : 39 of 64

Marks: +1, -0

What is the value of p for which f"(0)=0 ?

−
1
6
or 0
−1 or 0
−
1
6
or 1
−1 or 1

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