1st VMO 1962 Problem 2 f(x) = (1 + x)(2 + x 2 ) 1/2 (3 + x 3 ) 1/3 . Find f '(-1).
Differentiating gives f '(x) = (2 + x 2 ) 1/2 (3 + x 3 ) 1/3 + terms with factor (1 + x). Hence f '(-1) =3 1/2 2 1/3 . 1st VMO 1962 © John Scholes jscholes@kalva.demon.co.uk 8 July 2002