An Old problem

JEE Advanced 2015 Guidance › Calculus questions › An Old problem

This question was posted by Bhatt sir about more than a year back in another forum:

Let f(x)=\sin(x^3)

Determine all n for which the n-th derivative of f(x) is non-zero at x=0.

#Mathematics #Calculus

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9 Answers

1

Arshad ~Died~ ·2009-09-26 03:10:19

n= multiples of 3 i think

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66

kaymant ·2009-09-26 03:20:57

No Arshad, the 6th derivative is 0.

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11

Tush Watts ·2009-09-26 05:09:12

@ Anant sir
Can we do it by LEBINTZ RULE OF SUCCESSIVE DIFFERENTIATION ??

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66

kaymant ·2009-09-26 05:12:33

go ahead tushar..

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Arshad ~Died~ ·2009-09-30 06:20:53

no one till now??
sir pls give a hint....

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24

eureka123 ·2009-09-30 06:24:04

lebnitz rule ????

or taylors series ??
i think it will be done by taylors series...

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66

kaymant ·2009-10-04 23:56:11

A series expansion of sin(x³) will be useful.

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UTTARA ·2009-10-05 00:05:54

3rd derivative , 9th 15th .....

n = 3 ( any odd no. )

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eureka123 ·2009-10-05 01:18:45

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Your Answer

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