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Delicate Derivative Derivation II (Posted on 2010-08-03) Difficulty: 3 of 5
F(x) is a function which is defined as:
F(x) = √(1 + 4x2 - 4x3 - 4x5 + 4x6 + x8)

Determine F(10)(0), that is, the tenth derivative of F(x) with respect to x at x=0.

No Solution Yet Submitted by K Sengupta    
Rating: 1.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution not much | Comment 1 of 4

ans: zero

sol:

f'=1/2*p^(-1/2)*p'    where p=1+4x^2+   ...+x^8

f''=1/2*(-1/2)*p^(-3/2)*p'  + 1/2*p^(-1/2)*p''

etc etc

f'''''''''''-polinom consisting of members like a*p^b*p'''' ,all

 members being  equal to zero since all derivatives are 0 at x=0 

 

  


  Posted by Ady TZIDON on 2010-08-04 18:10:48
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