1st VMO 1962

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Problem 2

f(x) = (1 + x)(2 + x2)1/2(3 + x3)1/3. Find f '(-1).

 

Solution

Differentiating gives f '(x) = (2 + x2)1/2(3 + x3)1/3 + terms with factor (1 + x). Hence f '(-1) =31/221/3.

 


 

1st VMO 1962

© John Scholes
jscholes@kalva.demon.co.uk
8 July 2002